Persons: Astashkin, Sergei Vladimirovich

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Astashkin, Sergei Vladimirovich

Statistics
in MathSciNet:	140 (138)
in zbMATH:	74 (73)
in Web of Science:	99 (98)
in Scopus:	105 (105)

Professor

Doctor of physico-mathematical sciences (1999)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

Birth date:

15.04.1956

E-mail:

Keywords:

interpolation of operators, real K-method of interpolation, independent functions, Rademacher system, rearrangement invariant spaces, orthogonal series, extrapolation of operators.

Main publications:

S. V. Astashkin, M. Milman, “Extrapolation Stories and Problems”, Pure and Appl. Funct. Anal., 6:3 (2021), 651–707
S. V. Astashkin, The Rademacher system in function spaces, Birkhäuser, 2020 , 559 pp.
S. V. Astashkin, “$\Lambda(p)$–spaces”, J. Funct. Anal., 266 (2014), 5174–5198
S. V. Astashkin, F. A. Sukochev, “Independent functions and the geometry of Banach spaces”, Russian Math. Surveys, 65:6 (2010), 1003–1081
S. V. Astashkin, “Systems of random variables equivalent in distribution to the Rademacher system and $\mathscr K$-closed representability of Banach couples”, Sb. Math., 191:6 (2000), 779–807

https://www.mathnet.ru/eng/person8713

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/197703

https://orcid.org/0000-0002-8239-5661

https://www.researchgate.net/profile/Sergey_Astashkin2

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1.	S. V. Astashkin, “On some class of extreme points of the unit ball of a Hardy–Lorentz space”, Dokl. Math., 111:2 (2025), 95–98
2.	S. V. Astashkin, K. V. Lykov, “On deviation of systems of subsets”, Trudy Mat. Inst. Steklova, 331, 2025 (to appear)
3.	S. V. Astashkin, V. M. Ershov, E. I. Zhugaleva, “On properties of bases in the James space”, Mat. Zametki, 118:6 (2025)
4.	S. V. Astashkin, E. M. Semenov, A. S. Usachev, “Operators defined on the set of Banach limits”, Siberian Math. J., 66:5 (2025), 1134–1139
5.	S. V. Astashkin, K. V. Lykov, “On unconditionality of fractional Rademacher chaos in symmetric spaces”, Izv. Math., 88:1 (2024), 1–17
6.	S.V. Astashkin, K.V. Lykov, M. Milman, “Majorization revisited: Comparison of norms in interpolation scales”, Math. Annalen, 388:4 ((2024), 3321–3371 https://doi.org/10.1007/s00208- 023-02606-w	3 ^[x]
7.	S.V. Astashkin, G.P. Curbera, “Symmetric finite representability of \ell^-spaces in rearrangement invariant spaces on [0,1]”, Rev. Mat. Complut., 37 (2024), 413–434 https://doi.org/10.1007/023-00464-3
8.	S. V. Astashkin, E. M. Semenov, “On a property of the Rademacher system and $\Lambda(2)$-spaces”, Sb. Math., 215:3 (2024), 291–307
9.	S. V. Astashkin, “On subspaces of Orlicz spaces spanned by independent copies of a mean zero function”, Izv. Math., 88:4 (2024), 601–625
10.	S. V. Astashkin, “Sequences of independent functions and structure of rearrangement invariant spaces”, Russian Math. Surveys, 79:3 (2024), 375–457
11.	S. V. Astashkin, “On isomorphic embeddings in the class of disjointly homogeneous rearrangement invariant spaces”, Siberian Math. J., 65:3 (2024), 505–513
12.	S. V. Astashkin, K. V. Lykov, “One property of the multiple Rademacher system and its applications to problems of graph discrepancy”, Russian Math. Surveys, 79:4 (2024), 727–729
13.	S. V. Astashkin, V. M. Ershov, “Two remarks on properties of functions of bounded variation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 30:3 (2024), 7–16
14.	S.V. Astashkin, “On embeddings in the intersection X\cap L_\infty”, Banach J. Math. Anal., 18:75 (2024) https://doi.org/10.1007/s43037-024-00380-8
15.	S.V. Astashkin, “The structure of subspaces in Orlicz spaces lying between L^1 and L^2”, Mathematische Zeitschrift, 303 (2023), 91 https://doi.org/10.1007/s00209- 023-03255-0	5 ^[x]
16.	S. V. Astashkin, “On Lattice Properties of the Lorentz Spaces $L_{p,q}$”, Math. Notes, 113:1 (2023), 10–17
17.	S. V. Astashkin, “Spectral properties of the dilation operator in rearrangement invariant spaces of fundamental type”, Siberian Math. J., 64:1 (2023), 1–12
18.	S.V. Astashkin, P.G. Nilsson, “A description of interpolation spaces for quasi-Banach couples by real K-method”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117 (2023), no. 35	3 ^[x]
19.	S.V. Astashkin, P.G. Nilsson, M. Cwikel, “Arazy-Cwikel and Calderon-Mityagin type properties of the couples (\ell^p,\ell^q), 0\le p < q \le \infty.”, Annali di Matematica Pura ed Applicata, 202:4 (2023), 1643-1678 https://doi.org/10.1007/022-01296-6	3 ^[x]
20.	S. V. Astashkin, “On Various Notions of Representability of $l_r$-Spaces in Orlicz Function Spaces”, Math. Notes, 114:3 (2023), 403–406
21.	S. V. Astashkin, “On subspaces of an Orlicz space spanned by independent identically distributed functions”, Dokl. Math., 108:1 (2023), 297–299
22.	S. V. Astashkin, P. A. Terekhin, “On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions”, Proc. Steklov Inst. Math., 319 (2022), 13–21
23.	S. V. Astashkin, G. P. Curbera, “Rosenthal's space revisited”, Studia Mathematica, 262:2 (2022), 197–224 , arXiv: https://arxiv.org/abs/3204379	3 ^[x]
24.	S. V. Astashkin, P. A. Terekhin, “Sequences of dilations and translations equivalent to the Haar system in L^p-spaces”, J. Approx. Theory, 274 (2022), no. 105672 https://doi.org/10.1016/j.jat.2021.105672
25.	S. V. Astashkin, “Symmetric finite representability of \ell^p-spaces in rearrangement invariant spaces on (0,\infty)”, Math. Annalen, 383:3-4 (2022), 1489-1520 https://doi.org/10.1007/s00208-021-02277-5	6 ^[x]
26.	S. Astashkin, F. Sukochev, D. Zanin, “The distribution of a random variable whose independent copies span \ell_M is unique”, Rev. Mat. Compl., 35:3 (2022), 815-834 https://doi.org/10.1007/s13163-021-00406-x	7 ^[x]
27.	S. V. Astashkin, D. N. Galich, “Estimating the measure of $k$-fold intersections of $k$-fold stretched intervals”, Russian Math. (Iz. VUZ), 66:10 (2022), 67–72
28.	S. V. Astashkin, “Binary Orlicz spaces”, Dokl. Math., 106:2 (2022), 315–317
29.	S.V. Astashkin, P.G. Nilsson, “Arazy-Cwikel property for quasi-Banach couples”, Positivity, 26:4 (2022), no. 72	4 ^[x]
30.	S.V. Astashkin, “A characterization of \ell^p-spaces symmetrically finitely represented in symmetric sequence spaces”, Banach J. Math. Anal., 16:2 (2022), no. 30
31.	S.V. Astashkin, J. Huang, F. Sukochev, M. Pliev, D. Zanin, “Optimal Range of Haar Martingale Transforms and Its Applications”, International Mathematics Research Notices, rnac273 (2022) https://doi.org/10.1093/imrn/rnac273 3
32.	S. V. Astashkin, “Sequences of independent functions in rearrangement invariant spaces”, Siberian Math. J., 62:2 (2021), 189–198
33.	S. V. Astashkin, E. M. Semenov, “Orthogonality in nonseparable rearrangement-invariant spaces”, Sb. Math., 212:11 (2021), 1553–1570
34.	S. V. Astashkin, “Disjointly homogeneous Orlicz spaces revisited”, Annali di Matematica Pura ed Applicata, 200 (2021), 2689–2713 , arXiv: 3179604 [math.FA]	1 ^[x]
35.	S. V. Astashkin, K. V. Lykov, “Extrapolation description of limiting interpolation $J$-spaces”, Pure and Appl. Funct. Anal., 6:3 (2021), 511–529
36.	S. V. Astashkin, M. Milman, “Extrapolation Stories and Problems”, Pure and Appl. Funct. Anal., 6:3 (2021), 651–707
37.	S. V. Astashkin, “Compact and strictly singular operators in rearrangement invariant spaces and Rademacher functions”, Positivity, 25 (2021), 159–175	1 ^[x]
38.	S. V. Astashkin, J. Huang, F. Sukochev, “Lack of isomorphic embeddings of symmetric function spaces into operator ideals”, J. Funct. Anal., 280:5 (2021), 108895	5 ^[x]
39.	S. V. Astashkin, P. A. Terekhin, “Representation of functions in symmetric spaces by dilations and translations”, Funct. Anal. Appl., 54:1 (2020), 45–48
40.	S. V. Astashkin, E. M. Semenov, “On a Property of Rearrangement Invariant Spaces whose Second Köthe Dual is Nonseparable”, Math. Notes, 107:1 (2020), 10–19
41.	S. V. Astashkin, S. I. Strakhov, “On Disjointly Homogeneous Orlicz–Lorentz Spaces”, Math. Notes, 108:5 (2020), 631–642
42.	S. V. Astashkin, “Symmetric finite representability of $\ell^p$ in Orlicz spaces”, Vestn. SamU. Estestvennonauchn. ser., 26:4 (2020), 15–24
43.	S. V. Astashkin, “A version of Calder\{o}n-Mityagin theorem for the class of rearrangement invariant groups”, Nonlinear Analysis, 200 (2020), 112063	3 ^[x]
44.	S. V. Astashkin, M. Milman, “Garsia-Rodemich spaces: Local maximal functions and interpolation”, Studia Mathematica, 255:1 (2020), 1–26	3 ^[x]
45.	S. V. Astashkin, P. A. Terekhin, “Representing systems of dilations and translations in symmetric function spaces”, J. Fourier Anal. Appl., 26:1 (2020), 13 , arXiv: 1903.07094v1 [math.FA]	2 ^[x]
46.	S. V. Astashkin, E. M. Semenov, “Orthogonal elements in nonseparable rearrangement invariant spaces”, Doklady Math., 102:3 (2020), 449–450
47.	S. V. Astashkin, “On a Theorem of Kadets and Pełczyński”, Math. Notes, 106:2 (2019), 172–182
48.	S. V. Astashkin, E. M. Semenov, “Some properties of embeddings of rearrangement invariant spaces”, Sb. Math., 210:10 (2019), 1361–1379
49.	S. V. Astashkin, “On some class of interpolation functors”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:2 (2019), 7–20
50.	S. V. Astashkin, “Some remarks about disjointly homogeneous symmetric spaces”, Rev. Mat. Complut., 32:3 (2019), 823–835 , arXiv: 2223290 [math.FA]}{2223290 [math.FA]}	4 ^[x]
51.	S. V. Astashkin, “Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactness”, Contemp. Math., 733 (2019), 45–59	7 ^[x]
52.	S. V. Astashkin, K. V. Lykov, M. Milman, “Limiting interpolation spaces via extrapolation”, J. Approx. Theory, 240 (2019), 16–70	9 ^[x]
53.	S. V. Astashkin, “Duality problem for disjointly homogeneous rearrangement invariant spaces”, J. Funct. Anal., 276 (2019), 3205–3225 , arXiv: 1805.00691v1 [math.FA]	7 ^[x]
54.	S. V. Astashkin, “A sharp version of commutator theorem for the real method of interpolation”, Proc. Amer. Math. Soc., 147:2 (2019), 711–725
55.	S. V. Astashkin, K. Le\{s}nik, L. Maligranda, “Isomorphic structure of Cesaro and Tandori spaces”, Canad. J. Math., 71:3 (2019), 501–532	3 ^[x]
56.	S. V. Astashkin, “On some problems of the theory of disjointly homogeneous symmetric spaces”, Proc. Lobachevskii Math. Center, 57 (2019), 40–45
57.	S. V. Astashkin, P. A. Terekhin, “Basis properties of affine Walsh systems in symmetric spaces”, Izv. Math., 82:3 (2018), 451–476
58.	S. V. Astashkin, S. I. Strakhov, “On symmetric spaces with convergence in measure on reflexive subspaces”, Russian Math. (Iz. VUZ), 62:8 (2018), 1–8
59.	S. V. Astashkin, P. A. Terekhin, “Affine Walsh-type systems of functions in symmetric spaces”, Sb. Math., 209:4 (2018), 469–490
60.	S. V. Astashkin, G. P. Curbera, “Random unconditional convergence and divergence in Banach spaces close to $L^1$”, Rev. Mat. Complut., 31:2 (2018), 351–377	5 ^[x]
61.	S. V. Astashkin, P. A. Terekhin, “Sequences of dilations and translations in function spaces”, J. Math. Anal. Appl., 457 (2018), 645–671	1 ^[x]
62.	S. V. Astashkin, L. Maligranda, “$L_p+L_q$ and $L_p\cap L_q$ are not isomorphic for all $1\le p,q\le\infty$, $p\ne q$”, C.R. Acad. Sci. Paris, Ser. I, 356 (2018), 661–665 , arXiv: 2223358 math.FA	2 ^[x]
63.	S. V. Astashkin, L. Maligranda, “$L_p+L_\infty$ and $L_p\cap L_\infty$ are not isomorphic for all $p\in ]1.2)\cup (2,\infty)$”, Proc. Amer. Math. Soc., 146:5 (2018), 2181–2194 , arXiv: 1852164 math.FA	5 ^[x]
64.	S. V. Astashkin, E. M. Semenov, “Strict embeddings of rearrangement invariant spaces”, Doklady Math., 98:1 (2018), 327–329
65.	S. V. Astashkin, “On comparing systems of random variables with the Rademacher sequence”, Izv. Math., 81:6 (2017), 1063–1079
66.	S. V. Astashkin, “On subspaces of Cesàro spaces”, Siberian Math. J., 58:6 (2017), 952–958
67.	S. V. Astashkin, K. V. Lykov, “\it Jawerth-Milman extrapolation theory: Some recent developments with applications”, Contemp. Math., 693 (2017), 7–53
68.	S. V. Astashkin, “Rademacher functions in weighted symmetric spaces”, Israel J. Math., 218:1 (2017), 371–390	1 ^[x]
69.	S. V. Astashkin, “On symmetric spaces with Kato property”, Proc. Lobachevskii Math. Center, 54 (2017), 51–54
70.	S. V. Astashkin, P. A. Terekhin, “On the boundedness of operator generated by the Haar multishift”, Doklady Math., 96:2 (2017), 442–444
71.	S. V. Astashkin, K. V. Lykov, “Sparse Rademacher chaos in symmetric spaces”, St. Petersburg Math. J., 28:1 (2017), 1–20
72.	S. V. Astashkin, E. M. Semenov, “On Fourier Coefficients of Lacunary Systems”, Math. Notes, 100:4 (2016), 507–514
73.	S. V. Astashkin, E. M. Semenov, “Lebesgue constants of the Walsh system and Banach limits”, Siberian Math. J., 57:3 (2016), 398–410
74.	S. V. Astashkin, “On symmetric spaces containing isomorphic copies of Orlicz sequence spaces”, Commentationes Math., 56:1 (2016), 29–44
75.	S. V. Astashkin, L. Maligranda, “Rademacher functions in Morrey spaces”, J. Math. Anal. Appl., 441:2 (2016), 1133–1154	2 ^[x]
76.	S. Astashkin, F. Sukochev, “Randomized Operators on Matrices and Applications”, Integral equations and operator theory, 86:3 (2016), 333–358
77.	S. V. Astashkin, M. Mastylo, “Rademacher functions in Nakano spaces”, Analysis and PDE, 9:1 (2016), 1–14	3 ^[x]
78.	S. V. Astashkin, G. Curbera, K. E. Tikhomirov, “On the existence of RUC-systems in rearrangement invariant spaces”, Math. Nachr., 289:2-3 (2016), 175–186	7 ^[x]
79.	S. V. Astashkin, “Martingale transforms of a Rademacher sequence in symmetric spaces”, St. Petersburg Math. J., 27:2 (2016), 191–206
80.	S. V. Astashkin, E. M. Semenov, “Paley spaces”, Siberian Math. J., 56:1 (2015), 21–27
81.	S. Astashkin, F. Sukochev, D. Zanin, “On uniqueness of distribution of a random variable whose independent copies span a subspace in $L_p$”, Stud. Math., 230:1 (2015), 41–57
82.	S. V. Astashkin, “Disjointly homogeneous rearrangement invariant spaces via interpolation”, J. Math. Anal. Appl., 421:1 (2015), 338–361	7 ^[x]
83.	S. V. Astashkin, L. Maligranda, “Structure of Rademacher subspaces in Cesaro type spaces”, Stud. Math., 226:3 (2015), 259–279	2 ^[x]
84.	S. V. Astashkin, G. P. Curbera, “Local Khintchine inequality in rearrangement invariant spaces”, Annali di Matematica Pura ed Applicata, 194 (2015), 619–643	7 ^[x]
85.	S. V. Astashkin, E. M. Semenov, “Lebesgue constants of the Walsh system”, Doklady Math., 91:3 (2015), 344–346
86.	S. V. Astashkin, “Khintchine Inequality for Sets of Small Measure”, Funct. Anal. Appl., 48:4 (2014), 235–241
87.	S. V. Astashkin, “Approximation of Subspaces of Symmetric Spaces Generated by Independent Functions”, Math. Notes, 96:5 (2014), 625–633
88.	S. V. Astashkin, “Martingale Rosenthal inequalities in symmetric spaces”, Sb. Math., 205:12 (2014), 1720–1740
89.	S. V. Astashkin, “$\Lambda(p)$–spaces”, J. Funct. Anal., 266 (2014), 5174–5198	18 ^[x]
90.	S. V. Astashkin, L. Maligranda, “Structure of Cesaro function spaces: a survey”, Function Spaces X (Pozna\{n}, Poland, July 9-13, 2012), 102, eds. H. Hudzik, G. Lewicki, J. Musielak, M. Nowak, L. Skrzypczak, M. Wis\la, Banach Center Publ., Warszawa, 2014, 13–40
91.	S. Astashkin, F. Sukochev, D. Zanin, “Disjointification inequalities in symmetric quasi-Banach spaces and their applications”, Pacific J. Math., 214:2 (2014), 257–285	13 ^[x]
92.	S. V. Astashkin, F. A. Sukochev, “Orlicz sequence spaces spanned by identically distributed independent random variables in $L_p$–spaces”, J. Math. Anal. Appl., 413 (2014), 1–19	15 ^[x]
93.	S. V. Astashkin, G. P. Curbera, “A weighted Khintchine inequality”, Revista Mat. Iberoamericana, 30:1 (2014), 237–246	4 ^[x]
94.	S. V. Astashkin, “On subspaces generated by independent functions in symmetric spaces with Kruglov property”, St. Petersburg Math. J., 25:4 (2014), 513–527
95.	S. V. Astashkin, “On Complementability of Subspaces in Symmetric Spaces with the Kruglov Property”, Funct. Anal. Appl., 47:2 (2013), 148–151
96.	S. V. Astashkin, E. M. Semenov, “Spaces defined by the Paley function”, Sb. Math., 204:7 (2013), 937–957
97.	S. V. Astashkin, L. Maligranda, R. S. Sukhanov, “Sequences of independent Walsh functions in BMO”, Siberian Math. J., 54:2 (2013), 205–211
98.	S. V. Astashkin, L. Maligranda, K. E. Tikhomirov, “New examples of K-monotone weighted Banach couples”, Stud. Math., 218:1 (2013), 55–88	3 ^[x]
99.	S. V. Astashkin, L. Maligranda, “Interpolation of Cesaro and Copson spaces”, Banach and function spaces IV. International Symposium (Kitakyushu, Japan, 2012), eds. M. Kato, L. Maligranda, Yokohama Publishers, 2013, 123–133
100.	S. V. Astashkin, K. E. Tikhomirov, “A probabilistic version of Rosenthals inequality”, Proc. Amer. Math. Soc., 141:10 (2013), 3539–3547	1 ^[x]
101.	S. V. Astashkin, L. Maligranda, “A short proof of some recent results related to Cesaro function spaces”, Indag. Math., 24 (2013), 589–592	1 ^[x]
102.	S. V. Astashkin, L. Maligranda, “Interpolation of Cesaro sequence and function spaces”, Stud. Math., 215:1 (2013), 39–70	8 ^[x]
103.	S. V. Astashkin, F. A. Sukochev, C. P. Wong, “Distributionally concave symmetric spaces and uniqueness of symmetric structure”, Advances in Math., 232 (2013), 399–431	8 ^[x]
104.	S. V. Astashkin, “Rosenthal type inequalities for martingales in symmetric spaces”, Russian Math. (Iz. VUZ), 56:11 (2012), 52–57
105.	S. V. Astashkin, R. S. Sukhanov, “On Certain Properties of Rademacher Chaos”, Math. Notes, 91:5 (2012), 613–624
106.	S. V. Astashkin, “On the geometric properties of Cesàro spaces”, Sb. Math., 203:4 (2012), 514–533
107.	S. V. Astashkin, “Geometrical properties of Banach spaces generated by sublinear operators”, Positivity, 17:2 (2012), 223–234	6 ^[x]
108.	S. V. Astashkin, K. V. Lykov, M. Mastylo, “On extrapolation of rearrangement invariant spaces”, Nonlinear Analysis, 75 (2012), 2735–2749	4 ^[x]
109.	S. V. Astashkin, E. M. Semenov, “Haar Series and Spaces Determined by the Paley Function”, Doklady Math., 86:1 (2012), 539–541
110.	S. V. Astashkin, “On finite representability of $l_p$-spaces in rearrangement invariant spaces”, St. Petersburg Math. J., 23:2 (2012), 257–273
111.	S. V. Astashkin, L. Maligranda, “Geometry of Cesàro Function Spaces”, Funct. Anal. Appl., 45:1 (2011), 64–68
112.	S. V. Astashkin, K. E. Tikhomirov, “On Probability Analogs of Rosenthal's Inequality”, Math. Notes, 90:5 (2011), 644–650
113.	S. V. Astashkin. F. A. Sukochev, C. P. Wong, “Disjointification of martingale differences and conditionally independent random variables with some\ applications”, Stud. Math., 205:2 (2011), 171–200	10 ^[x]
114.	S. V. Astashkin, M. Leibov, L. Maligranda, “Rademacher functions in $BMO$”, Stud. Math., 205:2 (2011), 83–100	8 ^[x]
115.	S. V. Astashkin, F. A. Sukochev, “Symmetric quasi–norms of sums of independent random variables in symmetric function spaces with the Kruglov operator”, Israel J. of Math., 184:1 (2011), 455–476	4 ^[x]
116.	S. V. Astashkin, F. A. Sukochev, “Symmetric quasi–norms of sums of independent random variables in symmetric function spaces with the Kruglov operator”, Israel J. of Math., 184:1 (2011), 455–476	4 ^[x]
117.	S. V. Astashkin, K. V. Lykov, “Extrapolation description of rearrangement invariant spaces and related problems”, Proceedings of International Symposium on Banach and Function Spaces III (Kitakyushu, Japan, 2009), eds. M. Kato, L. Maligranda, Yokohama Publisher, 2011, 1–52
118.	S. V. Astashkin, “Rademacher series and isomorphisms of rearrangement invariant spaces on the finite interval and on the semi–axis”, J. Funct. Anal., 260 (2011), 195–207	7 ^[x]
119.	S. V. Astashkin, K. E. Tikhomirov, “On Stably $\mathcal{K}$-Monotone Banach Couples”, Funct. Anal. Appl., 44:3 (2010), 212–215
120.	S. V. Astashkin, “On the Comparison of Distribution Functions of Random Variables”, Math. Notes, 87:1 (2010), 15–22
121.	S. V. Astashkin, F. A. Sukochev, “Independent functions and the geometry of Banach spaces”, Russian Math. Surveys, 65:6 (2010), 1003–1081
122.	S. V. Astashkin, “Vector-valued sums of independent functions in rearrangement invariant spaces”, Siberian Math. J., 51:4 (2010), 584–594
123.	S. V. Astashkin, F. A. Sukochev, “Best constants in Rosenthal–type inequalities and the Kruglov operator”, Ann. Probab., 38:5 (2010), 1986–2008	12 ^[x]
124.	S. V. Astashkin, L. Maligranda, “Rademacher functions in Cesaro type spaces”, Stud. Math., 198:3 (2010), 235–247	10 ^[x]
125.	S. V. Astashkin, K. E. Tikhomirov, “On stability of K-monotonicity of Banach couples”, Rev. Mat. Compl., 23:1 (2010), 113–137	1 ^[x]
126.	S. V. Astashkin, “Rademacher functions in symmetric spaces”, Journal of Mathematical Sciences, 169:6 (2010), 725–886
127.	S. V. Astashkin, D. V. Zanin, E. M. Semenov, F. A. Sukochev, “Kruglov Operator and Operators Defined by Random Permutations”, Funct. Anal. Appl., 43:2 (2009), 83–95
128.	S. V. Astashkin, K. V. Lykov, “Strong extrapolation spaces and interpolation”, Siberian Math. J., 50:2 (2009), 199–213
129.	S. V. Astashkin, L. Maligranda, “Structure of Cesaro function spaces”, Indag. Mathem., N.S., 20:3 (2009), 329–379	36 ^[x]
130.	S. V. Astashkin, G. P. Curbera, “Rearrangement invariance of Rademacher multiplicator spaces”, J. Funct. Anal., 256 (2009), 4071– 4094	4 ^[x]
131.	S. V. Astashkin, E. M. Semenov, F. L. Hernandez, “Strictly singular inclusions of rearrangement invariant spaces and Rademacher spaces”, Stud. Math., 193:3 (2009), 269–283	14 ^[x]
132.	S. V. Astashkin, E. M. Semenov, F. A. Sukochev, “Banach-Saks type properties in rearrangement–invariant spaces with Kruglov property”, Houston Math. J., 35:3 (2009), 959–973
133.	S. V. Astashkin, “A Generalized Khintchine Inequality in Rearrangement Invariant Spaces”, Funct. Anal. Appl., 42:2 (2008), 144–147
134.	S. V. Astashkin, “Lieb–Thirring Inequality for $L_p$ Norms”, Math. Notes, 83:2 (2008), 145–151
135.	S. V. Astashkin, “Independent functions in rearrangement invariant spaces and the Kruglov property”, Sb. Math., 199:7 (2008), 945–963
136.	S. V. Astashkin, N. Kalton, F. A. Sukochev, “Cesaro mean convergence of martingale differences in rearrangement invariant spaces”, Positivity, 12 (2008), 387–406	19 ^[x]
137.	S. V. Astashkin, L. Maligranda, “Cesaro function spaces fail the fixed point property”, Proc. Amer. Math. Soc., 136:12 (2008), 4289–4294	20 ^[x]
138.	S. V. Astashkin, L. Maligranda, “Ultrasymmetric Orlicz spaces”, J. Math. Anal. Appl., 347 (2008), 273–285	4 ^[x]
139.	S. V. Astashkin, G. P. Curbera, “Rademacher multiplicator spaces equal to $L^\infty$”, Proc. Amer. Math. Soc., 136 (2008), 3493–3501	6 ^[x]
140.	S. V. Astashkin, P. Sunehag, “Real method of interpolation on subcouples of codimension one”, Stud. Math., 186:2 (2008), 151–168	5 ^[x]
141.	S. V. Astashkin, F. A. Sukochev, “Sequences of independent identically distributed functions in rearrangement invariant spaces”, Function spaces VIII (Bȩdlewo, Poland, July 3-7, 2006), 79, eds. H. Hudzik, J. Musielak, M. Nowak, L. Skrzypczak, Banach Center Publ., Warszawa, 2008, 27–37 (Published online)
142.	S. V. Astashkin, “Orbitalnoe opisanie kompleksnogo metoda interpolyatsii”, Trudy IV mezhd. konfer. po kompleksnomu analizu, Petrozavodskii gosuniversitet, Petrozavodsk, 2008, 5–7
143.	S. V. Astashkin, “On the Normability of Marcinkiewicz Classes”, Math. Notes, 81:4 (2007), 429–434
144.	S. V. Astashkin, F. A. Sukochev, “Series of independent mean zero random variables in rearrangement invariant spaces with the Kruglov property”, J. Math. Sci. (N. Y.), 148:6 (2008), 795–809
145.	S. V. Astashkin, F. A. Sukochev, “Banach-Saks property in Marcinkiewicz spaces”, J. Math. Anal. Appl., 336:2 (2007), 1231–1258	15 ^[x]
146.	S. V. Astashkin, “Interpolyatsiya podprostranstv korazmernosti odin”, Vestnik Samarskogo un-ta. Estestvennonauchnaya seriya, 2007, no. 9/1(59), 75–84
147.	S. V. Astashkin, P. Sunehag, “The Real Interpolation Method on Couples of Intersections”, Funct. Anal. Appl., 40:3 (2006), 218–221
148.	S. V. Astashkin, F. A. Sukochev, “Sums of independent functions in symmetric spaces with the Kruglov property”, Math. Notes, 80:4 (2006), 593–598
149.	S. V. Astashkin, K. V. Lykov, “Extrapolatory description for the Lorentz and Marcinkiewicz spaces “close” to $L_\infty$”, Siberian Math. J., 47:5 (2006), 797–812
150.	S. V. Astashkin, “Interpolation of intersections by the real method”, St. Petersburg Math. J., 17:2 (2006), 239–265
151.	S. V. Astashkin, “Interpolation of Intersections Generated by a Linear Functional”, Funct. Anal. Appl., 39:2 (2005), 131–134
152.	S. V. Astashkin, “Extrapolation functors on a family of scales generated by the real interpolation method”, Siberian Math. J., 46:2 (2005), 205–225
153.	S. V. Astashkin, G. P. Curbera, “Symmetric kernel of Rademacher multiplicator spaces”, J. Funct. Anal., 226 (2005), 173–192	9 ^[x]
154.	S. V. Astashkin, E. M. Semenov, F. A. Sukochev, “The Banach-Saks $p$-property”, Math. Annalen, 332 (2005), 879–900	10 ^[x]
155.	S. V. Astashkin, F. A. Sukochev, “Series of independent random variables in r.i.s.: an operator approach”, Israel J. of Math., 145 (2005), 125–156	40 ^[x]
156.	S. V. Astashkin, K. V. Lykov, “Extrapolation description of some symmetric spaces”, Proc. Lobachevskii Math. Center, 30 (2005), 12-13
157.	S. V. Astashkin, F. A. Sukochev, “Comparison of Sums of Independent and Disjoint Functions in Symmetric Spaces”, Math. Notes, 76:4 (2004), 449–454
158.	S. V. Astashkin, “On the Multiplier Space Generated by the Rademacher System”, Math. Notes, 75:2 (2004), 158–165
159.	S. V. Astashkin, L. Maligranda, “Interpolation between $L_1$ and $L_p$, $p\in (0,\infty)$”, Proc. Amer. Math. Soc., 132:10 (2004), 2929–2938.	12 ^[x]
160.	S. V. Astashkin, “Some New Extrapolation Estimates for the Scale of $L_p$-Spaces”, Funct. Anal. Appl., 37:3 (2003), 221–224
161.	S. V. Astashkin, L. Maligranda, “On Interpolation in $L_p$ Spaces”, Math. Notes, 74:5 (2003), 734–739
162.	S. V. Astashkin, “Extrapolation properties of the scale of $L_p$-spaces”, Sb. Math., 194:6 (2003), 813–832
163.	S. V. Astashkin, L. Maligranda, E. M. Semenov, “Multiplicator space and complemented subspaces of rearrangement invariant space”, J. Funct. Anal., 202 (2003), 247–276	15 ^[x]
164.	S. V. Astashkin, “Images of operators in rearrangement invariant spaces and interpolation”, Lecture Notes in Pure and Applied Math., Proceedings of Sixth Intern. Conf. on Function Spaces (Wrocław, Poland, 2001), 213, Marcel Decker Inc., 2003, 49–64
165.	S. V. Astashkin, “On the Exact $\mathcal{K}$-Monotonicity of Banach Couples”, Funct. Anal. Appl., 36:3 (2002), 217–219
166.	S. V. Astashkin, “Exact $\mathscr K$-monotonicity of one class of Banach pairs”, Siberian Math. J., 43:1 (2002), 5–21
167.	S. V. Astashkin, E. M. Semenov, “On complementability of subspaces generated by contractions and shifts of functions”, Doklady Math., 387:5 (2002), 583–585
168.	S. V. Astashkin, R. F. Uzbekov, “${\cal K}$-zamknutye podpary i otnositelnye popolneniya”, Vestnik Samarskogo un-ta. Estestvennonauchnaya seriya, 26:4 (2002), 5–12
169.	S. V. Astashkin, “About interpolation of subspaces of rearrangement invariant spaces generated by the Rademacher system”, Intern. J. Math. Math. Sci., 25:7 (2001), 451–465	13 ^[x]
170.	S. V. Astashkin, “Systems of random variables equivalent in distribution to the Rademacher system and $\mathscr K$-closed representability of Banach couples”, Sb. Math., 191:6 (2000), 779–807
171.	S. V. Astashkin, “Fourier–Rademacher coefficients of functions in rearrangement-invariant spaces”, Siberian Math. J., 41:4 (2000), 601–610
172.	S. V. Astashkin, “Rademacher chaos in symmetric spaces, 2”, East J. Approx., 6:1 (2000), 71–86
173.	S. V. Astashkin, E. M. Semenov, “Fourier-Rademacher coefficients”, Doklady Math., 375:1 (2000), 7–9
174.	S. V. Astashkin, V. A. Kostin, S.M.Nikolskii, I. Ya. Novikov, S. Ya. Novikov, Yu. G. Reshetnyak, V. A. Rodin, B. N. Sadovskii, V. V. Strygin, “Evgenii Mikhailovich Semenov (k shestidesyatiletiyu so dnya rozhdeniya)”, IZVESTIYa RAEN, seriya MMMIU, 4:3 (2000), 7-26
175.	S. V. Astashkin, “Multiple Rademacher Series in Rearrangement Invariant Spaces”, Funct. Anal. Appl., 33:2 (1999), 141–143
176.	S. V. Astashkin, “On the selection of subsystems equivalent in distribution to the Rademacher system”, Math. Notes, 66:3 (1999), 384–388
177.	S. V. Astashkin, “Identification of subsystems “majorized” by the Rademacher system”, Math. Notes, 65:4 (1999), 407–417
178.	S. V. Astashkin, “On disjunctive strict singularity of embeddings of symmetric spaces”, Math. Notes, 65:1 (1999), 3–12
179.	S. V. Astashkin, “On Series with Respect to the Rademacher System in Rearrangement Invariant Spaces “Close” to $L_\infty$”, Funct. Anal. Appl., 32:3 (1998), 192–194
180.	S. V. Astashkin, “Rademacher chaos in symmetric spaces”, East J. Approx., 4:3 (1998), 311–336
181.	S. V. Astashkin, “${\cal K}$-monotonnye vesovye pary, porozhdennye prostranstvom, ne invariantnym otnositelno sdviga”, Trudy 2-go Mezhdun. semin. "Diff. ur-iya i ikh prilozh.", Samarskii gosuniversitet, Samara, 1998, 19–25
182.	S. V. Astashkin, “Interpolation of positive polylinear operators in Calderón–Lozanovskii spaces”, Siberian Math. J., 38:6 (1997), 1047–1053
183.	S. V. Astashkin, “Tensor product in symmetric function spaces”, Collectenea Math., 48:4–6 (1997), 375–391 (Proceedings of Fourth International Conference “Function Spaces”, Zielona G\{o}ra, 1995)
184.	S. V. Astashkin, “Ob interpolyatsii podprostranstv simmetrichnykh prostranstv, porozhdennykh sistemoi Rademakhera”, IZVESTIYa RAEN, ceriya MMMIU, 1:1 (1997), 18–35
185.	S. V. Astashkin, “Operatory slabogo tipa i ustoichivost veschestvennogo metoda interpolyatsii v simmetrichnykh prostranstvakh”, IZVESTIYa RAEN, seriya MMMIU, 1:4 (1997), 3–25
186.	S. V. Astashkin, “On the Multiplier of a Rearrangement Invariant Space with Respect to the Tensor Product”, Funct. Anal. Appl., 30:4 (1996), 267–269
187.	S. V. Astashkin, Yu. E. Kim, “Interpolation of bilinear operators in Marcinkiewicz spaces”, Math. Notes, 60:4 (1996), 363–371
188.	S. V. Astashkin, “Ob orbitalnom opisanii kompleksnogo metoda interpolyatsii”, “Mera i integral”, Samarskii gosuniversitet, Samara, 1995, 28–34
189.	S. V. Astashkin, “Interpolation of operators in quasinormed groups of measurable functions”, Siberian Math. J., 35:6 (1994), 1075–1082
190.	S. V. Astashkin, “On cones of step functions in rearrangement invariant spaces”, Siberian Math. J., 34:4 (1993), 597–605
191.	S. V. Astashkin, “On interpolation of bilinear operators with a real method”, Math. Notes, 52:1 (1992), 641–648
192.	S. V. Astashkin, V. I. Ovchinnikov, “Functorial approach to interpolation of operators of weak type”, Siberian Math. J., 32:3 (1991), 360–370
193.	S. V. Astashkin, “O simmetrichnom prostranstve s trivialnymi indeksami Boida”, “Mera i integral”, Kuibyshevskii gosuniversitet, Kuibyshev, 1988, 23–26
194.	S. V. Astashkin, M. Sh. Braverman, “O podprostranstve simmetrichnogo prostranstva, porozhdennom sistemoi Rademakhera s vektornymi koeffitsientami”, “Operatornye ur-iya v funkts. pr-vakh”, Voronezhskii gosuniversitet, Voronezh, 1986, 3–10
195.	S. V. Astashkin, “Stable interpolation functors”, Funct. Anal. Appl., 19:2 (1985), 133–134
196.	S. V. Astashkin, “One property of functors of the real interpolation method”, Math. Notes, 38:3 (1985), 725–732
197.	S. V. Astashkin, “Description of the interpolation spaces between $(l_1(\omega^0), l_1(\omega^1))$ and $(l_\infty(\omega^0), l_\infty(\omega^1))$”, Math. Notes, 35:4 (1984), 261–265
198.	S. V. Astashkin, “Ob interpolyatsionnykh prostranstvakh otnositelno $l_1(w^0)$ i $l_1(w^1)$”, “Mera i integral”, Kuibyshevskii gosuniversitet, Kuibyshev, 1984, 25–34
199.	S. V. Astashkin, “Ob ustoichivosti veschestvennogo metoda interpolyatsii”, DAN Uzbekskoi SSR, 4 (1983), 10–11
200.	S. V. Astashkin, “O bilineinom multiplikativnom funktsionale”, "Issl. po teor. funkts. mnog. vesch. perem.", Yaroslavskii gosuniversitet, Yaroslavl, 1982, 3–15
Books

201.	S. V. Astashkin, The Rademacher system in function spaces, Birkhäuser, 2020 , 559 pp.
202.	S. V. Astashkin, Sistema Rademakhera v funktsionalnykh prostranstvakh, Fizmatlit, Moskva, 2017 , 550 pp.
203.	S. V. Astashkin, Yu. V. Solodyannikov, Svertochnye empiricheskie protsessy i svyazannye s nimi statisticheskie kriterii, “Samarskii universitet”, Samara, 2000
Information matherials

204.	S. V. Astashkin, “All-Russian scientific conference “Mathematics and Mathematical Modeling””, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:3 (2023), 7
Personalia

205.	S. V. Astashkin, S. M. Nikol'skii, S. Ya. Novikov, “Evgenii Mikhailovich Semenov (on his 60th birthday)”, Russian Math. Surveys, 56:6 (2001), 1193–1198
Letters, errata

206.	S. V. Astashkin, “Letter to the editors”, Algebra i Analiz, 28:3 (2016), 190–192

Presentations in Math-Net.Ru

1.	О структуре множества крайних точек единичного шара пространства Харди-Лоренца S. V. Astashkin XVII International Kazan school-conference "Function Theory, Its Applications and Related Topics" August 24, 2025
2.	Система Радемахера и оценки для разброса гиперграфов S. V. Astashkin International conference “Theory of Functions, Operator Theory and Quantum Information Theory” June 10, 2024 10:30
3.	Случайная безусловная сходимость, хаос Радемахера и системы множеств S. V. Astashkin XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences January 31, 2024 10:00
4.	Rademacher chaos, combinatorial dimension and discrepancy of set systems S. V. Astashkin International Conference “Nonlinear Approximation and Discretization” dedicated to the 70-th anniversary of Professor V.N. Temlyakov November 2, 2023 10:50
5.	Interpolation properties of $K$-monotone couples of quasi-Banach spaces S. V. Astashkin Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov June 2, 2023 11:00
6.	О дополняемости подпространств, порожденных независимыми функциями. S. V. Astashkin Seminar on Theory of Functions of Real Variables April 28, 2023 18:30
7.	Об одном свойстве пространств Орлича, лежащих между $L^1$ и $L^2$ S. V. Astashkin November 11, 2022 15:00
8.	A new comparison method of norms in scales of function spaces S. Astashkin Approximation and discretization September 3, 2021 11:00

Organisations

Articles

Books

Information matherials

Personalia

Letters, errata