Persons: Stepanov, Vladimir Dmitrievich

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Stepanov, Vladimir Dmitrievich

Statistics
in MathSciNet:	153 (150)
in zbMATH:	119 (118)
in Web of Science:	116 (115)
in Scopus:	118 (117)

Corresponding member of RAS

Professor

Doctor of physico-mathematical sciences (1985)

Speciality:

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

Birth date:

13.12.1949

E-mail:

Keywords:

integral and differential operators in function spaces.

https://www.mathnet.ru/eng/person21556

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/196932

https://elibrary.ru/author_items.asp?authorid=3857

https://www.webofscience.com/wos/author/record/Q-6899-2016

https://www.scopus.com/authid/detail.url?authorId=7402660100

List of publications:

scientific publications

by years

by types

by times cited

common list

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

1.	G. Sinnamon, V. D. Stepanov, “The weighted Hardy inequality: new proofs and the case $p=1$”, J. London Math. Soc., 2nd series, 54:1 (1996), 89–101	102 ^[x]
2.	A. Gogatishvili, V. D. Stepanov, “Reduction theorems for weighted integral inequalities on the cone of monotone functions”, Russian Math. Surveys, 68:4 (2013), 597–664
3.	M. L. Gol'dman, H. P. Heinig, V. D. Stepanov, “On the principle of duality in Lorentz spaces”, Canad. J. Math., 48:5 (1996), 959–979	54 ^[x]
4.	V. D. Stepanov, “Weighted norm inequalities of Hardy type for a class of integral operators”, J. London Math. Soc. (2), 50:1 (1994), 105–120	48 ^[x]
5.	D. V. Prokhorov, V. D. Stepanov, “Weighted Estimates for the Riemann–Liouville Operators and Applications”, Proc. Steklov Inst. Math., 243 (2003), 278–301
6.	V. D. Stepanov, E. P. Ushakova, “On Integral Operators with Variable Limits of Integration”, Proc. Steklov Inst. Math., 232 (2001), 290–309
7.	V. D. Stepanov, “Integral operators on the cone of monotone functions”, J. London Math. Soc. (2), 48:3 (1993), 465–487	35 ^[x]
8.	D. V. Prokhorov, V. D. Stepanov, “On weighted Hardy inequalities in mixed norms”, Proc. Steklov Inst. Math., 283 (2013), 149–164
9.	H. P. Heinig, V. D. Stepanov, “Weighted Hardy inequalities for increasing functions”, Canad. J. Math., 45:1 (1993), 104–116	28 ^[x]
10.	V. D. Stepanov, “Two-weighted estimates of Riemann–Liouville integrals”, Math. USSR-Izv., 36:3 (1991), 669–681
11.	E. N. Lomakina, V. D. Stepanov, “Asymptotic Estimates for the Approximation and Entropy Numbers of a One-Weight Riemann–Liouville Operator”, Siberian Adv. Math., 17:1 (2007), 1–36
12.	V. D. Stepanov, “Weighted inequalities for a class of Volterra convolution operators”, J. London Math. Soc. (2), 45:2 (1992), 232–242	20 ^[x]
13.	A. Gogatishvili, V. D. Stepanov, “Reduction theorems for operators on the cones of monotone functions”, J. Math. Anal. Appl., 405:1 (2013), 156–172	18 ^[x]
14.	V. D. Stepanov, “The weighted Hardy's inequality for nonincreasing functions”, Trans. Amer. Math. Soc., 338:1 (1993), 173–186	18 ^[x]
15.	Siberian Mathematical Journal, 30:1 (1989), 8–16
16.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators. Part I”, Proc. Steklov Inst. Math., 300, suppl. 2 (2018), 1–112
17.	V. D. Stepanov, A. M. Khludnev, “The method of fictitious domains in the Signorini problem”, Siberian Math. J., 44:6 (2003), 1061–1074
18.	D. V. Prokhorov, V. D. Stepanov, “Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces”, Sb. Math., 207:8 (2016), 1159–1186
19.	V. D. Stepanov, E. P. Ushakova, “Hardy operator with variable limits on monotone functions”, J. Funct. Spaces Appl., 1:1 (2003), 1–15	16 ^[x]
20.	D. E. Edmunds, V. D. Stepanov, “On the singular numbers of certain Volterra integral operators”, J. Funct. Anal., 134:1 (1995), 222–246	16 ^[x]
21.	Math. Notes, 104:6 (2018), 823–832
22.	D. V. Prokhorov, V. D. Stepanov, “Weighted estimates for a class of sublinear operators”, Dokl. Math., 88:3 (2013), 721–23
23.	V. D. Stepanov, E. P. Ushakova, “On the Geometric Mean Operator with Variable Limits of Integration”, Proc. Steklov Inst. Math., 260 (2008), 254–278
24.	V. D. Stepanov, “On the lower bounds for Schatten-von Neumann norms of certain Volterra integral operators”, J. London Math. Soc. (2), 61:3 (2000), 905–922	15 ^[x]
25.	E. Lomakina, V. Stepanov, “On the Hardy-type integral operators in Banach function spaces”, Publ. Mat., 42:1 (1998), 165–194	15 ^[x]
26.	M. Sh. Braverman, V. D. Stepanov, “On the discrete Hardy inequality”, Bull. London Math. Soc., 26:3 (1994), 283–287	15 ^[x]
27.	L. Persson-E., V. D. Stepanov, E. P. Ushakova, “Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions”, Proc. Amer. Math. Soc., 134:8 (2006), 2363–2372	14 ^[x]
28.	Siberian Mathematical Journal, 28:3 (1987), 515–517
29.	P. Jain, S. Jain, V. D. Stepanov, “LCT based integral transforms and Hausdorff operators”, Eurasian Math. J., 11:1 (2020), 57–71	12 ^[x]
30.	Siberian Mathematical Journal, 32:3 (1991), 540–542
31.	L.-E. Persson, G. E. Shambilova, V. D. Stepanov, “Hardy-type inequalities on the weighted cones of quasi-concave functions”, Banach J. Math. Anal., 9:2 (2015), 21–34	11 ^[x]
32.	D. V. Prokhorov, V. D. Stepanov, “Estimates for a class of sublinear integral operators”, Dokl. Math., 89:3 (2014), 372–377
33.	V. D. Stepanov, E. P. Ushakova, “On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces”, Banach J. Math. Anal., 4:1 (2010), 28–52	11 ^[x]
34.	V. D. Stepanov, G. E. Shambilova, “Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions”, Siberian Math. J., 59:3 (2018), 505–522
35.	Dmitrii V. Prokhorov, Vladimir D. Stepanov, Elena P. Ushakova, “On associate spaces of weighted Sobolev space on the real line”, Math. Nachr., 290:5 (2017), 890–912	10 ^[x]
36.	V. D. Stepanov, “On Optimal Banach Spaces Containing a Weight Cone of Monotone or Quasiconcave Functions”, Math. Notes, 98:6 (2015), 957–970
37.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line”, Russian Math. Surveys, 74:6 (2019), 1075–1115
38.	Simon P. Eveson, Vladimir D. Stepanov, Elena P. Ushakova, “A duality principle in weighted Sobolev spaces on the real line”, Math. Nachr., 288:8 (2015), 877–897	9 ^[x]
39.	V. D. Stepanov, S. Yu. Tikhonov, “Two power-weight inequalities for the Hilbert transform on the cones of monotone functions”, Complex Var. Elliptic Equ., 56:10-11 (2011), 1039–1047	9 ^[x]
40.	D. V. Prokhorov, V. D. Stepanov, “On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis”, Siberian Math. J., 43:4 (2002), 694–707
41.	D. E. Edmunds, V. D. Stepanov, “The measure of noncompactness and approximation numbers of certain Volterra integral operators”, Math. Ann., 298:1 (1994), 41–66	9 ^[x]
42.	Sberian Mathematical Journal, 31:3 (1990), 513–522
43.	Pankaj Jain, Arun Pal Singh, Monika Singh, Vladimir D. Stepanov, “Sawyer's duality principle for grand Lebesgue spaces”, Math. Nachr., 292:4 (2019), 841–849	8 ^[x]
44.	V. D. Stepanov, G. E. Shambilova, “Boundedness of quasilinear integral operators on the cone of monotone functions”, Siberian Math. J., 57:5 (2016), 884–904
45.	V. D. Stepanov, E. P. Ushakova, “Weighted estimates for the integral operators with monotone kernel on a half-axis”, Siberian Math. J., 45:6 (2004), 1124–1134
46.	E. Lomakina, V. Stepanov, “On the compactness and approximation numbers of Hardy-type integral operators in Lorentz spaces”, J. London Math. Soc. (2), 53:2 (1996), 369–382	8 ^[x]
47.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators. Part II”, Proc. Steklov Inst. Math., 302, suppl. 1 (2018), 1–61
48.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “On weighted Sobolev spaces on the real line”, Dokl. Math., 93:1 (2016), 78–81
49.	V. D. Stepanov. G. E. Shambilova, “Weight boundedness of a class of quasilinear operators on the cone of monotone functions”, Dokl. Math., 90:2 (2014), 569–572
50.	A. Gogatishvili, L.-E. Persson, V. D. Stepanov, P. Wall, “On scales of equivalent conditions characterizing weighted Stieltjes inequality”, Dokl. Math., 86:3 (2012), 738–739
51.	L. Persson-Erik, O. V. Popova, V. D. Stepanov, “Two-sided Hardy-type inequalities for monotone functions”, Complex Var. Elliptic Equ., 55:8-10 (2010), 973–989	7 ^[x]
52.	V. D. Stepanov, “On Cesàro and Copson type function spaces. Reflexivity”, J. Math. Anal. Appl., 507:1 (2022), 125764 , 18 pp.	6 ^[x]
53.	V. D. Stepanov, G. E. Shambilova, “On Two-Dimensional Bilinear Inequalities with Rectangular Hardy Operators in Weighted Lebesgue Spaces”, Proc. Steklov Inst. Math., 312 (2021), 241–248
54.	V. D. Stepanov, G. È. Shambilova, “On bilinear weighted inequalities with Volterra integral operators”, Dokl. Math., 99:3 (2019), 290–294
55.	P. Jain, S. Kanjilal, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:3 (2018), 634–637
56.	V. D. Stepanov, G. È. Shambilova, “On bilinear weighted inequalities on the cone of nondecreasing functions”, Dokl. Math., 96:3 (2017), 631–635
57.	V. D. Stepanov, “On weighted estimates for a class of integral operators”, Siberian Math. J., 34:4 (1993), 755–766
58.	V. D. Stepanov, “On one weighted inequality of Hardy type for higher derivatives”, Proc. Steklov Inst. Math., 187 (1990), 205–220
59.	V. D. Stepanov, G. E. Shambilova, “On Weighted Iterated Hardy-Type Operators”, Anal. Math., 44:2 (2018), 273–283	5 ^[x]
60.	V. D. Stepanov, G. E. Shambilova, “On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions”, Eurasian Math. J., 8:2 (2017), 47–73	5 ^[x]
61.	Doklady Mathematics, 83:2 (2011), 241–242
62.	V. D. Stepanov, “On Spaces Associated with Weighted Cesàro and Copson Spaces”, Math. Notes, 111:3 (2022), 470–477
63.	V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Operators and the Duality Principle in Weighted First-Order Sobolev Spaces on the Real Axis”, Math. Notes, 105:1 (2019), 91–103
64.	Lars-Erik Persson, Guldarya E. Shambilova, Vladimir D. Stepanov, “Weighted Hardy type inequalities for supremum operators on the cones of monotone functions”, J. Inequal. Appl., 2016, 237	4 ^[x]
65.	A. Gogatishvili, L. Persson-Erik, V. D. Stepanov, P. Wall, “Some scales of equivalent conditions to characterize the Stieltjes inequality: the case $q<p$”, Math. Nachr., 287:2-3 (2014), 242–253	4 ^[x]
66.	A. Gogatishvili, V. D. Stepanov, “Integral operators on cones of monotone functions”, Dokl. Math., 86:2 (2012), 650–653
67.	A. Gogatishvili, V. D. Stepanov, “Operators on cones of monotone functions”, Dokl. Math., 86:1 (2012), 562–565
68.	S. Barza, L. Persson-Erik, V. D. Stepanov, “On weighted multidimensional embeddings for monotone functions”, Math. Scand., 88:2 (2001), 303–319	4 ^[x]
69.	Siberian Mathematical Journal, 15:3 (1974), 496–501
70.	V. D. Stepanov, G. È. Shambilova, Siberian Math. J., 61:4 (2020), 725–742
71.	V. D. Stepanov, G. È. Shambilova, “Multidimensional bilinear Hardy inequalities”, Dokl. Math., 100:1 (2019), 374–376
72.	V. D. Stepanov, G. È. Shambilova, “Iterated Integral Operators on the Cone of Monotone Functions”, Math. Notes, 104:3 (2018), 443–453
73.	V. D. Stepanov, G. È. Shambilova, “Boundedness of a class of quasilinear operators on the cone of monotone functions”, Dokl. Math., 94:3 (2016), 697–702
74.	V. D. Stepanov, “On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions”, Dokl. Math., 92:2 (2015), 545–547
75.	Doklady Mathematics, 84:1 (2011), 457–458
76.	V. D. Stepanov, L.-E. Persson, O. V. Popova, “Two-sided hardy-type inequalities for monotone functions”, Dokl. Math., 80:3 (2009), 814–817
77.	Doklady Mathematics, 65:1 (2002), 64–67
78.	V. D. Stepanov, “Weighted inequalities of Hardy type for higher-order derivatives and their applications”, Dokl. Math., 38:2 (1989), 389–393
79.	V. D. Stepanov, “On a problem for integral convolution operators”, Math. USSR-Sb., 48:1 (1984), 211–221
80.	V. D. Stepanov, E. P. Ushakova, “On the boundedness and compactness of the two-dimensional rectangular Hardy operator”, Dokl. Math., 106:2 (2022), 361–365
81.	Vladimir D. Stepanov, “On the boundedness of the Hilbert transform from weighted Sobolev space to weighted Lebesgue space”, J. Fourier Anal. Appl., 28:3 (2022), 46 , 17 pp.	2 ^[x]
82.	Pankaj Jain, Saikat Kanjilal, Guldarya E. Shambilova, Vladimir D. Stepanov, “Bilinear weighted Hardy-type inequalities in discrete and $q$-calculus”, Math. Inequal. Appl., 23:4 (2020), 1279–1310	2 ^[x]
83.	Vladimir D. Stepanov, Guldarya E. Shambilova, “On iterated and bilinear integral Hardy-type operators”, Math. Inequal. Appl., 22:4 (2019), 1505–1533	2 ^[x]
84.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:1 (2018), 373–376
85.	P. Jain, A. P. Singh, M. Singh, V. D. Stepanov, “Sawyer duality principle in grand Lebesgue spaces”, Dokl. Math., 97:1 (2018), 18–19
86.	V. D. Stepanov, G. È. Shambilova, “Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions”, Dokl. Math., 96:1 (2017), 315–320
87.	V. D. Stepanov, “An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives”, Proc. Amer. Math. Soc., 136:5 (2008), 1589–1597	2 ^[x]
88.	V. D. Stepanov, “An Extremal Property of Chebyshev Polynomials”, Proc. Steklov Inst. Math., 248 (2005), 230–242
89.	M. Nasyrova, V. Stepanov, “On maximal overdetermined Hardy's inequality of second order on a finite interval”, Math. Bohem., 124:2-3 (1999), 293–302	2 ^[x]
90.	Doklady Mathematics, 60:1 (1999), 94–96
91.	Doklady Mathematics, 57:2 (1998), 187–189
92.	V. B. Korotkov, V. D. Stepanov, “Criteria for the generation of integral operators by measurable functions”, Sibirsk. Mat. Zh., 23:2 (1982), 199–203, 218	2 ^[x]
93.	Siberian Mathematical Journal, 23:2 (1982), 243–255
94.	Vladimir D. Stepanov, Elena P. Ushakova, “Weighted Hardy inequality with two-dimensional rectangular operator: the case $q<p$”, Math. Inequal. Appl., 26:1 (2023), 267–288	1 ^[x]
95.	V. D. Stepanov, E. P. Ushakova, “On weighted Hardy inequality with two-dimensional rectangular operator – extension of the E. Sawyer theorem”, Math. Inequal. Appl., 24:3 (2021), 617–634	1 ^[x]
96.	Math. Notes, 107:2 (2020), 247–256
97.	V. D. Stepanov, E. P. Ushakova, “Hardy-Steklov Operators and Duality Principle in Weighted Sobolev Spaces of the First Order”, Dokl. Math., 97:3 (2018), 232–235
98.	Dokl. Math., 72:1 (2005), 491–494
99.	Doklady Mathematics, 68:2 (2003), 163–166
100.	M. L. Gol'dman, V. D. Stepanov, H. P. Heinig, “On the principle of duality in Lorentz spaces”, Dokl. Math., 52:2 (1995), 264–267
101.	V. D. Stepanov, “On the singular numbers of a class of integral operators”, Dokl. Math., 49:3 (1994), 545–547
102.	V. D. Stepanov, D. E. Edmunds, “On the measure of noncompactness and approximation numbers of a class of Volterra integral operators”, Dokl. Math., 47:3 (1993), 618–623
103.	V. D. Stepanov, “Integral operators on the cone of monotone functions and embeddings of Lorentz spaces”, Dokl. Akad. Nauk SSSR, 317:6 (1991), 1308–1311	1 ^[x]
104.	V. D. Stepanov, “On the boundedness and compactness of a class of integral operators”, Dokl. Math., 41:3 (1990), 468–470
105.	V. D. Stepanov, “On the vanishing of the symbol of a convolution integral operator”, Math. USSR-Sb., 51:1 (1985), 239–253
106.	V. D. Stepanov, “On a problem of Halmos and Sunder”, Dokl. Akad. Nauk SSSR, 278:2 (1984), 296–298	1 ^[x]
107.	V. D. Stepanov, “Characteristic properties of convolution integral operators”, Proc. Steklov Inst. Math., 161 (1984), 241–250
108.	V. D. Stepanov, “Periodic multipliers of Fourier integrals”, Math. Notes, 32:2 (1982), 551–556
109.	V. D. Stepanov, “Characteristic properties of convolution integral operators”, Dokl. Akad. Nauk SSSR, 260:4 (1981), 806–808	1 ^[x]
110.	V. D. Stepanov, Differ. Uravn., 12:1 (1976), 129–136
111.	D. V. Prokhorov, V. D. Stepanov, “On weighted discrete hardy and Riemann–Liouville inequalities”, Math. Notes, 117:1 (2025), 138–153
112.	V. D. Stepanov, E. P. Ushakova, “Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator”, Math. Notes, 115:3 (2024), 392–406
113.	V. D. Stepanov, E. P. Ushakova, “Strong and weak associativity of weighted Sobolev spaces of the first order”, Russian Math. Surveys, 78:1 (2023), 165–202
114.	M. L. Goldman, V. D. Stepanov, “Riemann–Liouville Space of Fractional Potentials on the Half-Line”, Proc. Steklov Inst. Math., 323 (2023), 120–129
115.	V. D. Stepanov, E. P. Ushakova, “Compactness of the two-dimensional rectangular Hardy operator”, Math. Inequal. Appl., 25:2 (2022), 535–549
116.	V. D. Stepanov, E. P. Ushakova, S. E. Zhukovskiy, “Two-dimensional Hardy operator in Lebesgue spaces”, Short Paper Proceedings of the VI International Conference on Information Technologies and High-Performance Computing (ITHPC 2021), Information Technologies and High-Performance Computing (Khabarovsk, Russia, September 14-16, 2021), CEUR Workshop Proceedings, 2930, 2021 , 6 pp. https://ceur-ws.org/Vol-2930/paper22.pdf
117.	V. D. Stepanov, G. È. Shambilova, “Bilinear Weighted Inequalities with Two-Dimensional Operators”, Dokl. Math., 102:2 (2020), 406–408
118.	P. Jain, V. D. Stepanov, G. È. Shambilova, “Discrete Bilinear Hardy Inequalities”, Dokl. Math., 100:3 (2019), 554–557
119.	Vladimir D. Stepanov, Elena P. Ushakova, “Bilinear Hardy-type inequalities in weighted Lebesgue spaces”, Nonlinear Stud., 26:4 (2019), 939–953
120.	L. Persson-E., O. V. Popova, V. D. Stepanov, “Weighted Hardy-type inequalities on the cone of quasi-concave functions”, Math. Inequal. Appl., 17:3 (2014), 879–898
121.	V. D. Stepanov, “Spectral theory, function spaces and inequalities”, Oper. Theory: Adv. Appl., 219, Birkhäuser/Springer Basel AG, Basel, 2012, 233–242
122.	V. D. Stepanov, E. P. Ushakova, “Kernel operators with variable intervals of integration in Lebesgue spaces and applications”, Math. Inequal. Appl., 13:3 (2010), 449–510
123.	V. D. Stepanov, “Sharp two-sided estimates of the approximation and entropy numbers of integral operators on the semiaxis”, East J. Approx., 15:3 (2009), 329–343
124.	V. D. Stepanov, E. P. Ushakova, “Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces”, Math. Inequal. Appl., 12:4 (2009), 873–889
125.	Dokl. Math., 78:1 (2008), 541–543
126.	M. Johansson, V. D. Stepanov, E. P. Ushakova, “Hardy inequality with three measures on monotone functions”, Math. Inequal. Appl., 11:3 (2008), 393–413
127.	L. Persson-Erik, V. Stepanov, P. Wall, “Some scales of equivalent weight characterizations of Hardy's inequality: the case $q<p$”, Math. Inequal. Appl., 10:2 (2007), 267–279
128.	Dokl. Math., 72:1 (2005), 555-557
129.	Dokl. Math., 72:1 (2005), 574–575
130.	Dokl. Math., 68:3 (2003), 409–413
131.	L. Persson-Erik, V. D. Stepanov, “Weighted integral inequalities with the geometric mean operator”, J. Inequal. Appl., 7:5 (2002), 727–746
132.	M. Nassyrova, L. Persson-Erik, V. Stepanov, “On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform”, JIPAM. J. Inequal. Pure Appl. Math., 3:4 (2002), Article 48, 16 pp. (electronic)
133.	Dok. Math., 63:2 (2001), 201-202
134.	M. Carro, L. Pick, J. Soria, V. D. Stepanov, “On embeddings between classical Lorentz spaces”, Math. Inequal. Appl., 4:3 (2001), 397–428
135.	V. D. Stepanov, Nekotorye voprosy teorii integralnykh operatorov svertki, Dal'nauka, Vladivostok, 2000 , 228 pp.
136.	E. N. Lomakina, V. D. Stepanov, “On asymptotic behaviour of the approximation numbers and estimates of Schatten-von Neumann norms of the Hardy-type integral operators”, Function spaces and applications (1997, Delhi), Narosa, New Delhi, 2000, 153–187
137.	M. Nasyrova, V. Stepanov, “On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints”, J. Inequal. Appl., 1:3 (1997), 223–238
138.	V. D. Stepanov, “On the structure of certain class of Volterra integral operators and estimates of approximation numbers”, Recent topics in operator theory concerning the structure of operators (Japanese) (Kyoto, 1996), Sūrikaisekikenkyūsho Kōkyūroku, 1997, no. 979, 34–41
139.	V. D. Stepanov, “Weighted norm inequalities for integral operators and related topics”, Nonlinear analysis, function spaces and applications, Vol. 5 (Prague, 1994), Prometheus, Prague, 1994, 139–175
140.	E. A. Myasnikov, L. E. Persson, V. D. Stepanov, “On the best constants in certain integral inequalities for monotone functions”, Acta Sci. Math. (Szeged), 59:3-4 (1994), 613–624
141.	Siberian Mathematical Journal, 30:3 (1989), 457–464
142.	V. D. Stepanov, “Multipliers of Fourier integrals generated by characteristic functions of sets”, Dokl. Math., 37:2 (1988), 532–533
143.	V. D. Stepanov, “An integral convolution operator with a narrow interval of action”, Analytic methods in the theory of elliptic equations, “Nauka” Sibirsk. Otdel., Novosibirsk, 1982, 88–107
144.	V. D. Stepanov, “On a criterion of approximation to the identity in $L^{p}(E_{n})$ by convolution transforms of dilation type”, Anal. Math., 8:3 (1982), 233–238
145.	V. D. Stepanov, “On multipliers of Fourier integrals”, Dokl. Akad. Nauk SSSR, 258:5 (1981), 1063–1065
146.	V. D. Stepanov, “Multipliers generated by hypoelliptic expressions”, Theory of cubature formulas and numerical mathematics (1978, Proc. Conf., Novosibirsk), “Nauka” Sibirsk. Otdel., Novosibirsk, 1980, 234–236, 256
147.	V. B. Korotkov, V. D. Stepanov, “Some properties of integral operators of convolution”, Application of the methods of functional analysis to problems of mathematical physics and numerical analysis (Russian), Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1979, 64–68
148.	V. D. Stepanov, “Absolute summability of the Fourier transform of functions of several variables”, Theory of cubature formulas and the application of functional analysis to problems of mathematical physics (Russian), Trudy Sem. S. L. Soboleva, No. 1, 1978, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1978, 116–121, 167
149.	V. D. Stepanov, “Convolution integral operators”, Dokl. Akad. Nauk SSSR, 243:1 (1978), 45–48
150.	V. D. Stepanov, G. E. Shambilova, “On the iterated integral operators on the cone of monotone functions”, Siberian Math. J., 66:2 (2025), 345–363
151.	V. D. Stepanov, E. P. Ushakova, “Multidimensional Discrete Hardy Inequalities”, Trudy Mat. Inst. Steklova, 331, 2025 (to appear)
152.	E. R. Avakov, V. I. Burenkov, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. V. Dmitruk, A. G. Kusraev, S. S. Kutateladze, K. Yu. Osipenko, V. D. Stepanov, V. M. Tikhomirov, “Georgy Georgievich Magaril-Il'yaev (on his 80th anniversary)”, Vladikavkaz. Mat. Zh., 26:2 (2024), 133–136
153.	Szilárd Gy. Révész, Bálint Farkas, Vladimir D. Stepanov, Zoltán Németh, Béla Nagy, “The semicentennial anniversary of Analysis Mathematica”, Anal. Math., 50:4 (2024), 959–965
154.	A. V. Abanin, O. G. Avsyankin, V. I. Burenkov, B. G. Vakulov, S. K. Vodopyanov, M. L. Gol'dman, V. S. Guliev, I. M. Erusalimskyi, A. N. Karapetyants, M. I. Karyakin, V. M. Kokilashvili, A. G. Kusraev, E. R. Liflyand, A. V. Pskhu, V. S. Rabinovich, S. V. Rogozin, B. S. Rubin, A. P. Soldatov, I. M. Spitkovsky, V. D. Stepanov, Kh. G. Umarov, S. M. Umarkhadzhiev, “Stefan Grigorievich Samko (on the occasion of his 80th birthday)”, Vladikavk. matem. zhurn., 23:3 (2021), 126–129
155.	A. I. Aptekarev, A. M. Akhtyamov, O. V. Besov, A. A. Vladimirov, B. S. Kashin, K. A. Mirzoev, S. N. Naboko, R. O. Oinarov, I. V. Sadovnichaya, A. M. Savchuk, A. G. Sergeev, V. D. Stepanov, Ya. T. Sultanaev, D. V. Treschev, I. A. Sheipak, “Andrei Andreevich Shkalikov (on his seventieth birthday)”, Trans. Moscow Math. Soc., 80 (2019), 113–122
156.	L. A. Aksent'ev, A. I. Aptekarev, A. M. Bikchentaev, V. V. Goryainov, V. N. Dubinin, A. M. Elizarov, I. R. Kayumov, A. Laptev, S. R. Nasyrov, D. V. Prokhorov, A. G. Sergeev, V. D. Stepanov, “Farit Gabidinovich Avkhadiev (on his 70th birthday)”, Russian Math. Surveys, 73:1 (2018), 181–185
157.	E. G. Bakhtigareeva, O. V. Besov, V. I. Burenkov, E. I. Galakhov, T. E. Denisova, A. N. Karapetyants, G. Zh. Karshygina, A. G. Kusraev, G. G. Magaril-Il'yaev, A. B. Muravnik, K. Yu. Osipenko, V. M. Savchin, S. M. Sitnik, A. L. Skubachevskii, E. O. Sivkova, V. D. Stepanov, V. M. Tikhomirov, E. P. Ushakova, E. L. Shishkina, “Mikhail Lvovich Goldman (13.04.1945–05.07.2025)”, Vladikavkaz. Mat. Zh., 27:3 (2025), 143–144

Presentations in Math-Net.Ru

1.	О супремальных неравенствах Харди V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics December 13, 2024 16:00
2.	On supremal Hardy inequalities V. D. Stepanov Optimization and nonlinear analysis November 28, 2024 14:00
3.	Contemporary problems of the theory of functional spaces and geometric analysis O. V. Besov, V. D. Stepanov Steklov Mathematical Institute Seminar May 16, 2024 16:00
4.	О прямоугольном операторе Харди в весовых пространствах Лебега V. D. Stepanov Seminar on Operator Theory and Function Theory February 19, 2024 17:30
5.	Strong and weak associated reflexivity of certain function classes V. D. Stepanov International scientific workshop OTHA Fall 2023 December 19, 2023 10:00
6.	О прямоугольном операторе Харди в весовых пространствах Лебега V. D. Stepanov, E. P. Ushakova Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics November 29, 2023 16:00
7.	Strong and weak associativity and reflexivity of certain function classes V. D. Stepanov Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov June 1, 2023 15:00
8.	О сильной и слабой ассоциированности некоторых функциональных классов V. D. Stepanov, E. P. Ushakova Seminar on Theory of Functions of Real Variables December 2, 2022 18:30
9.	On some strong and weak associated functional classes V. D. Stepanov Optimization and nonlinear analysis November 17, 2022 14:00
10.	О сильной и слабой ассоциированности некоторых функциональных классов V. D. Stepanov Seminar on Operator Theory and Function Theory October 10, 2022 17:30
11.	Об ассоциированной рефлексивности весовых пространств С. Л. Соболева первого порядка на вещественной оси V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics May 11, 2022 16:00
12.	Билинейные неравенства типа Харди в весовых пространствах Лебега V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics September 18, 2019 16:00
13.	Характеризация ассоциативных функциональных пространств V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics October 31, 2018 16:00
14.	Характеризация ассоциативных функциональных пространств V. D. Stepanov Seminar on Theory of Functions of Real Variables October 12, 2018 18:30
15.	A duality principle in the weighted Sobolev spaces on the real line V. D. Stepanov International Conference "Geometric Analysis and Control Theory" December 8, 2016 10:00
16.	О весовых пространствах Соболева на действительной оси V. D. Stepanov Seminar on Theory of Functions of Real Variables October 30, 2015 18:30
17.	О весовых пространствах Соболева на действительной оси V. D. Stepanov, D. V. Prokhorov, E. P. Ushakova Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics October 28, 2015 16:00
18.	О весовых пространствах Соболева на полуоси V. D. Stepanov, E. P. Ushakova International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 27, 2015 14:55
19.	Weighted inequalities for sublinear integral operators on the semiaxis and applications to Lorentz analysis D. V. Prokhorov, V. D. Stepanov International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 26, 2015 11:40
20.	Весовые неравенства для сублинейных операторов на полуоси V. D. Stepanov Seminar on Theory of Functions of Real Variables April 24, 2015 18:30
21.	Об оптимальных пространствах Банаха, содержащих конус убывающих или квазивогнутых функций V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics March 25, 2015 16:00
22.	Об оценках квазилинейных интегральных операторов на полуоси V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics November 13, 2013 16:00
23.	Reduction theorems for weighted integral inequalities on the cone of monotone functions V. D. Stepanov International conference "Nonlinear Approximations and Applications" dedicated to the 60th birthday of Professor V. N. Temlyakov November 1, 2013 10:25
24.	Весовые неравенства на монотонных функциях V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics February 15, 2012 16:00
25.	Интегральные неравенства на монотонных функциях V. D. Stepanov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics December 23, 2009 16:00

Books in Math-Net.Ru

D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Hardy–Steklov Integral Operators, Sovrem. Probl. Mat., 22, 2016, 186 с.
http://mi.mathnet.ru/book1629

Organisations