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
S. V. Astashkin, “On symmetrization of Banach lattices with an application to theory of Tsirel'son type spaces”, Dokl. RAN. Math. Inf. Proc. Upr., 528 (2026), 75–80
2.
S. V. Astashkin, V. I. Bakhtin, K. V. Lykov, “Conditional bases in the matrix space with the cut-norm”, Vladikavk. matem. zhurn., 28:2 (2026), 5–19;
S. V. Astashkin, D. V. Ivanov, V. V. Sevostyanova, “III all-Russian scientific conference «Mathematics and mathematical modeling»”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 32:1 (2026), 7
4.
S. V. Astashkin, A. G. Kusraev, I. Ya. Novikov, S. Ya. Novikov, D. M. Polyakov, A. S. Usachev, A. M. Shteinberg, “To the 85th Anniversary of Evgeniy Mikhailovich Semenov”, Vladikavkaz. Mat. Zh., 28:2 (2026), 129–145
2025
5.
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
6.
S. V. Astashkin, K. V. Lykov, “On Discrepancy in Systems of Subsets”, Proc. Steklov Inst. Math., 331 (2025), 28–41
7.
S. V. Astashkin, V. M. Ershov, E. I. Zhugaleva, “On Properties of Bases in the James Space”, Math. Notes, 1193–1204
8.
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
2024
9.
S. V. Astashkin, K. V. Lykov, “On unconditionality of fractional Rademacher chaos in symmetric spaces”, Izv. Math., 88:1 (2024), 1–17
10.
S.V. Astashkin, K.V. Lykov, M. Milman, “Majorization revisited: Comparison of norms in interpolation scales”, Math. Annalen, 388:4 ((2024), 3321–3371https://doi.org/10.1007/s00208- 023-02606-w
S.V. Astashkin, G.P. Curbera, “Symmetric finite representability of \ell^-spaces in rearrangement invariant spaces on [0,1]”, Rev. Mat. Complut., 37 (2024), 413–434https://doi.org/10.1007/023-00464-3
12.
S. V. Astashkin, E. M. Semenov, “On a property of the Rademacher system and $\Lambda(2)$-spaces”, Sb. Math., 215:3 (2024), 291–307
13.
S. V. Astashkin, “On subspaces of Orlicz spaces spanned by independent copies
of a mean zero function”, Izv. Math., 88:4 (2024), 601–625
14.
S. V. Astashkin, “Sequences of independent functions and structure of rearrangement invariant spaces”, Russian Math. Surveys, 79:3 (2024), 375–457
15.
S. V. Astashkin, “On isomorphic embeddings in the class of disjointly homogeneous rearrangement invariant spaces”, Siberian Math. J., 65:3 (2024), 505–513
16.
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
17.
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
S.V. Astashkin, “The structure of subspaces in Orlicz spaces lying between L^1 and L^2”, Mathematische Zeitschrift, 303 (2023), 91https://doi.org/10.1007/s00209- 023-03255-0
S. V. Astashkin, “On Lattice Properties of the Lorentz Spaces $L_{p,q}$”, Math. Notes, 113:1 (2023), 10–17
21.
S. V. Astashkin, “Spectral properties of the dilation operator in rearrangement invariant spaces of fundamental type”, Siberian Math. J., 64:1 (2023), 1–12
22.
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
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), 1643-1678https://doi.org/10.1007/022-01296-6
S. V. Astashkin, “On Various Notions of Representability of $l_r$-Spaces in Orlicz Function Spaces”, Math. Notes, 114:3 (2023), 403–406
25.
S. V. Astashkin, “On subspaces of an Orlicz space spanned by independent identically distributed functions”, Dokl. Math., 108:1 (2023), 297–299
26.
S. V. Astashkin, “All-Russian scientific conference “Mathematics and Mathematical Modeling””, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:3 (2023), 7
2022
27.
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
28.
S. V. Astashkin, G. P. Curbera, “Rosenthal's space revisited”, Studia Mathematica, 262:2 (2022), 197–224, arXiv: https://arxiv.org/abs/3204379
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. 105672https://doi.org/10.1016/j.jat.2021.105672
30.
S. V. Astashkin, “Symmetric finite representability of \ell^p-spaces in rearrangement invariant spaces on (0,\infty)”, Math. Annalen, 383:3-4 (2022), 1489-1520https://doi.org/10.1007/s00208-021-02277-5
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), 815-834https://doi.org/10.1007/s13163-021-00406-x
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
33.
S. V. Astashkin, “Binary Orlicz spaces”, Dokl. Math., 106:2 (2022), 315–317
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
36.
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
2021
37.
S. V. Astashkin, “Sequences of independent functions in rearrangement invariant spaces”, Siberian Math. J., 62:2 (2021), 189–198
38.
S. V. Astashkin, E. M. Semenov, “Orthogonality in nonseparable rearrangement-invariant spaces”, Sb. Math., 212:11 (2021), 1553–1570
39.
S. V. Astashkin, “Disjointly homogeneous Orlicz spaces revisited”, Annali di Matematica Pura ed Applicata, 200 (2021), 2689–2713, arXiv: 3179604 [math.FA]
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
S. V. Astashkin, P. A. Terekhin, “Representation of functions in symmetric spaces by dilations and translations”, Funct. Anal. Appl., 54:1 (2020), 45–48
45.
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
46.
S. V. Astashkin, S. I. Strakhov, “On Disjointly Homogeneous Orlicz–Lorentz Spaces”, Math. Notes, 108:5 (2020), 631–642
47.
S. V. Astashkin, “Symmetric finite representability of $\ell^p$ in Orlicz spaces”, Vestn. SamU. Estestvennonauchn. ser., 26:4 (2020), 15–24
48.
S. V. Astashkin, “A version of Calder\{o}n-Mityagin theorem for the class of rearrangement invariant groups”, Nonlinear Analysis, 200 (2020), 112063
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]
S. V. Astashkin, “Duality problem for disjointly homogeneous rearrangement invariant spaces”, J. Funct. Anal., 276 (2019), 3205–3225, arXiv: 1805.00691v1 [math.FA]
S. V. Astashkin, “On some problems of the theory of disjointly homogeneous symmetric spaces”, Proc. Lobachevskii Math. Center, 57 (2019), 40–45
2018
63.
S. V. Astashkin, P. A. Terekhin, “Basis properties of affine Walsh systems in symmetric spaces”, Izv. Math., 82:3 (2018), 451–476
64.
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
65.
S. V. Astashkin, P. A. Terekhin, “Affine Walsh-type systems of functions in symmetric spaces”, Sb. Math., 209:4 (2018), 469–490
66.
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
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
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
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
S. V. Astashkin, “Letter to the editors”, Algebra i Analiz, 28:3 (2016), 190–192
87.
S. V. Astashkin, “Martingale transforms of a Rademacher sequence in symmetric spaces”, St. Petersburg Math. J., 27:2 (2016), 191–206
2015
88.
S. V. Astashkin, E. M. Semenov, “Paley spaces”, Siberian Math. J., 56:1 (2015), 21–27
89.
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
90.
S. V. Astashkin, “Disjointly homogeneous rearrangement invariant spaces via interpolation”, J. Math. Anal. Appl., 421:1 (2015), 338–361
S. V. Astashkin, G. P. Curbera, “Local Khintchine inequality in rearrangement invariant spaces”, Annali di Matematica Pura ed Applicata, 194 (2015), 619–643
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
99.
S. Astashkin, F. Sukochev, D. Zanin, “Disjointification inequalities in symmetric quasi-Banach spaces and their applications”, Pacific J. Math., 214:2 (2014), 257–285
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
S. V. Astashkin, “On subspaces generated by independent functions in symmetric spaces with Kruglov property”, St. Petersburg Math. J., 25:4 (2014), 513–527
2013
103.
S. V. Astashkin, “On Complementability of Subspaces in Symmetric Spaces with the Kruglov Property”, Funct. Anal. Appl., 47:2 (2013), 148–151
104.
S. V. Astashkin, E. M. Semenov, “Spaces defined by the Paley function”, Sb. Math., 204:7 (2013), 937–957
105.
S. V. Astashkin, L. Maligranda, R. S. Sukhanov, “Sequences of independent Walsh functions in BMO”, Siberian Math. J., 54:2 (2013), 205–211
106.
S. V. Astashkin, L. Maligranda, K. E. Tikhomirov, “New examples of K-monotone weighted Banach couples”, Stud. Math., 218:1 (2013), 55–88
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
108.
S. V. Astashkin, K. E. Tikhomirov, “A probabilistic version of Rosenthals inequality”, Proc. Amer. Math. Soc., 141:10 (2013), 3539–3547
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
S. V. Astashkin, E. M. Semenov, “Haar Series and Spaces Determined by the Paley Function”, Doklady Math., 86:1 (2012), 539–541
118.
S. V. Astashkin, “On finite representability of $l_p$-spaces in rearrangement invariant spaces”, St. Petersburg Math. J., 23:2 (2012), 257–273
2011
119.
S. V. Astashkin, L. Maligranda, “Geometry of Cesàro Function Spaces”, Funct. Anal. Appl., 45:1 (2011), 64–68
120.
S. V. Astashkin, K. E. Tikhomirov, “On Probability Analogs of Rosenthal's Inequality”, Math. Notes, 90:5 (2011), 644–650
121.
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
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
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
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
126.
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
S. V. Astashkin, “Rademacher functions in symmetric spaces”, Journal of Mathematical Sciences, 169:6 (2010), 725–886
2009
135.
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
136.
S. V. Astashkin, K. V. Lykov, “Strong extrapolation spaces and interpolation”, Siberian Math. J., 50:2 (2009), 199–213
137.
S. V. Astashkin, L. Maligranda, “Structure of Cesaro function spaces”, Indag. Mathem., N.S., 20:3 (2009), 329–379
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
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
2008
141.
S. V. Astashkin, “A Generalized Khintchine Inequality in Rearrangement Invariant Spaces”, Funct. Anal. Appl., 42:2 (2008), 144–147
142.
S. V. Astashkin, “Lieb–Thirring Inequality for $L_p$ Norms”, Math. Notes, 83:2 (2008), 145–151
143.
S. V. Astashkin, “Independent functions in rearrangement invariant spaces and the Kruglov property”, Sb. Math., 199:7 (2008), 945–963
2026