Persons: Stepanov, Vladimir Dmitrievich

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Stepanov, Vladimir Dmitrievich

Total publications:	153 (149)
in MathSciNet:	151 (149)
in zbMATH:	117 (116)
in Web of Science:	115 (114)
in Scopus:	117 (116)
Cited articles:	105
Citations:	1032
Presentations:	23

Number of views:
This page:	11770
Abstract pages:	22865
Full texts:	5516
References:	1807

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

List of publications on ZentralBlatt

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

Full list of publications:

scientific publications

by years

by types

by times cited

common list

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


2025
1.	D. V. Prokhorov, V. D. Stepanov, “On weighted discrete Hardy and Riemann-Liouville inequalities”, Mat. Zametki, 117:1 (2025), 128–145 (to appear)

2024
2.	V. D. Stepanov, E. P. Ushakova, “Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator”, Math. Notes, 115:3 (2024), 392–406
3.	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

2023
4.	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
5.	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 ;
6.	M. L. Goldman, V. D. Stepanov, “Riemann–Liouville Space of Fractional Potentials on the Half-Line”, Proc. Steklov Inst. Math., 323 (2023), 120–129

2022
7.	V. D. Stepanov, “On Spaces Associated with Weighted Cesàro and Copson Spaces”, Math. Notes, 111:3 (2022), 470–477
8.	V. D. Stepanov, E. P. Ushakova, “Compactness of the two-dimensional rectangular Hardy operator”, Math. Inequal. Appl., 25:2 (2022), 535–549
9.	V. D. Stepanov, “On Cesàro and Copson type function spaces. Reflexivity”, J. Math. Anal. Appl., 507:1 (2022), 125764 , 18 pp.	5 ^[x]
10.	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
11.	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]

2021
12.	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
13.	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]
14.	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
15.	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

2020
16.	Math. Notes, 107:2 (2020), 247–256
17.	P. Jain, S. Jain, V. D. Stepanov, “LCT based integral transforms and Hausdorff operators”, Eurasian Math. J., 11:1 (2020), 57–71 ;	10 ^[x]
18.	V. D. Stepanov, G. È. Shambilova, Siberian Math. J., 61:4 (2020), 725–742
19.	V. D. Stepanov, G. È. Shambilova, “Bilinear Weighted Inequalities with Two-Dimensional Operators”, Dokl. Math., 102:2 (2020), 406–408
20.	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]

2019
21.	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
22.	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
23.	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]
24.	V. D. Stepanov, G. È. Shambilova, “Multidimensional bilinear Hardy inequalities”, Dokl. Math., 100:1 (2019), 374–376
25.	V. D. Stepanov, G. È. Shambilova, “On bilinear weighted inequalities with Volterra integral operators”, Dokl. Math., 99:3 (2019), 290–294
26.	Vladimir D. Stepanov, Guldarya E. Shambilova, “On iterated and bilinear integral Hardy-type operators”, Math. Inequal. Appl., 22:4 (2019), 1505–1533	2 ^[x]
27.	P. Jain, V. D. Stepanov, G. È. Shambilova, “Discrete Bilinear Hardy Inequalities”, Dokl. Math., 100:3 (2019), 554–557
28.	Vladimir D. Stepanov, Elena P. Ushakova, “Bilinear Hardy-type inequalities in weighted Lebesgue spaces”, Nonlinear Stud., 26:4 (2019), 939–953 ;
29.	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

2018
30.	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
31.	V. D. Stepanov, G. E. Shambilova, “On Weighted Iterated Hardy-Type Operators”, Anal. Math., 44:2 (2018), 273–283	3 ^[x]
32.	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
33.	V. D. Stepanov, G. È. Shambilova, “Iterated Integral Operators on the Cone of Monotone Functions”, Math. Notes, 104:3 (2018), 443–453
34.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:1 (2018), 373–376
35.	P. Jain, A. P. Singh, M. Singh, V. D. Stepanov, “Sawyer duality principle in grand Lebesgue spaces”, Dokl. Math., 97:1 (2018), 18–19
36.	Math. Notes, 104:6 (2018), 823–832
37.	P. Jain, S. Kanjilal, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:3 (2018), 634–637
38.	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

2017
39.	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]
40.	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	4 ^[x]
41.	V. D. Stepanov, G. È. Shambilova, “On bilinear weighted inequalities on the cone of nondecreasing functions”, Dokl. Math., 96:3 (2017), 631–635
42.	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

2018
43.	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
44.	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

2016
45.	D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “On weighted Sobolev spaces on the real line”, Dokl. Math., 93:1 (2016), 78–81
46.	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
47.	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
48.	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	3 ^[x]
49.	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

2015
50.	V. D. Stepanov, “On Optimal Banach Spaces Containing a Weight Cone of Monotone or Quasiconcave Functions”, Math. Notes, 98:6 (2015), 957–970
51.	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	10 ^[x]
52.	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]
53.	V. D. Stepanov, “On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions”, Dokl. Math., 92:2 (2015), 545–547

2014
54.	D. V. Prokhorov, V. D. Stepanov, “Estimates for a class of sublinear integral operators”, Dokl. Math., 89:3 (2014), 372–377
55.	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
56.	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]
57.	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

2013
58.	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
59.	D. V. Prokhorov, V. D. Stepanov, “On weighted Hardy inequalities in mixed norms”, Proc. Steklov Inst. Math., 283 (2013), 149–164
60.	D. V. Prokhorov, V. D. Stepanov, “Weighted estimates for a class of sublinear operators”, Dokl. Math., 88:3 (2013), 721–23
61.	A. Gogatishvili, V. D. Stepanov, “Reduction theorems for operators on the cones of monotone functions”, J. Math. Anal. Appl., 405:1 (2013), 156–172	15 ^[x]

2012
62.	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
63.	A. Gogatishvili, V. D. Stepanov, “Integral operators on cones of monotone functions”, Dokl. Math., 86:2 (2012), 650–653
64.	A. Gogatishvili, V. D. Stepanov, “Operators on cones of monotone functions”, Dokl. Math., 86:1 (2012), 562–565
65.	V. D. Stepanov, “Spectral theory, function spaces and inequalities”, Oper. Theory: Adv. Appl., 219, Birkhäuser/Springer Basel AG, Basel, 2012, 233–242

2011
66.	Doklady Mathematics, 84:1 (2011), 457–458
67.	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]
68.	Doklady Mathematics, 83:2 (2011), 241–242

2010
69.	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]
70.	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
71.	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]

2009
72.	V. D. Stepanov, L.-E. Persson, O. V. Popova, “Two-sided hardy-type inequalities for monotone functions”, Dokl. Math., 80:3 (2009), 814–817
73.	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
74.	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

2008
75.	V. D. Stepanov, E. P. Ushakova, “On the Geometric Mean Operator with Variable Limits of Integration”, Proc. Steklov Inst. Math., 260 (2008), 254–278
76.	Dokl. Math., 78:1 (2008), 541–543
77.	M. Johansson, V. D. Stepanov, E. P. Ushakova, “Hardy inequality with three measures on monotone functions”, Math. Inequal. Appl., 11:3 (2008), 393–413
78.	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]

2007
79.	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
80.	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

2006
81.	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]

2005
82.	V. D. Stepanov, “An Extremal Property of Chebyshev Polynomials”, Proc. Steklov Inst. Math., 248 (2005), 230–242
83.	Dokl. Math., 72:1 (2005), 555-557
84.	Dokl. Math., 72:1 (2005), 574–575
85.	Dokl. Math., 72:1 (2005), 491–494

2004
86.	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

2003
87.	V. D. Stepanov, A. M. Khludnev, “The method of fictitious domains in the Signorini problem”, Siberian Math. J., 44:6 (2003), 1061–1074
88.	D. V. Prokhorov, V. D. Stepanov, “Weighted Estimates for the Riemann–Liouville Operators and Applications”, Proc. Steklov Inst. Math., 243 (2003), 278–301
89.	Doklady Mathematics, 68:2 (2003), 163–166
90.	Dokl. Math., 68:3 (2003), 409–413
91.	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]

2002
92.	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
93.	Doklady Mathematics, 65:1 (2002), 64–67
94.	L. Persson-Erik, V. D. Stepanov, “Weighted integral inequalities with the geometric mean operator”, J. Inequal. Appl., 7:5 (2002), 727–746
95.	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)

2001
96.	V. D. Stepanov, E. P. Ushakova, “On Integral Operators with Variable Limits of Integration”, Proc. Steklov Inst. Math., 232 (2001), 290–309
97.	Dok. Math., 63:2 (2001), 201-202
98.	M. Carro, L. Pick, J. Soria, V. D. Stepanov, “On embeddings between classical Lorentz spaces”, Math. Inequal. Appl., 4:3 (2001), 397–428
99.	S. Barza, L. Persson-Erik, V. D. Stepanov, “On weighted multidimensional embeddings for monotone functions”, Math. Scand., 88:2 (2001), 303–319	3 ^[x]

2000
100.	V. D. Stepanov, Nekotorye voprosy teorii integralnykh operatorov svertki, Dal'nauka, Vladivostok, 2000 , 228 pp.
101.	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
102.	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]

1999
103.	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]
104.	Doklady Mathematics, 60:1 (1999), 94–96

1998
105.	Doklady Mathematics, 57:2 (1998), 187–189
106.	E. Lomakina, V. Stepanov, “On the Hardy-type integral operators in Banach function spaces”, Publ. Mat., 42:1 (1998), 165–194	15 ^[x]

1997
107.	M. Nasyrova, V. Stepanov, “On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints”, J. Inequal. Appl., 1:3 (1997), 223–238
108.	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

1996
109.	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	50 ^[x]
110.	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	95 ^[x]
111.	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]

1995
112.	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
113.	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]

1994
114.	V. D. Stepanov, “On the singular numbers of a class of integral operators”, Dokl. Math., 49:3 (1994), 545–547
115.	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
116.	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
117.	M. Sh. Braverman, V. D. Stepanov, “On the discrete Hardy inequality”, Bull. London Math. Soc., 26:3 (1994), 283–287	13 ^[x]
118.	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	46 ^[x]
119.	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]

1993
120.	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
121.	V. D. Stepanov, “On weighted estimates for a class of integral operators”, Siberian Math. J., 34:4 (1993), 755–766
122.	V. D. Stepanov, “Integral operators on the cone of monotone functions”, J. London Math. Soc. (2), 48:3 (1993), 465–487	32 ^[x]
123.	H. P. Heinig, V. D. Stepanov, “Weighted Hardy inequalities for increasing functions”, Canad. J. Math., 45:1 (1993), 104–116	22 ^[x]
124.	V. D. Stepanov, “The weighted Hardy's inequality for nonincreasing functions”, Trans. Amer. Math. Soc., 338:1 (1993), 173–186

1992
125.	V. D. Stepanov, “Weighted inequalities for a class of Volterra convolution operators”, J. London Math. Soc. (2), 45:2 (1992), 232–242	19 ^[x]

1991
126.	Siberian Mathematical Journal, 32:3 (1991), 540–542
127.	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]
128.	V. D. Stepanov, “Two-weighted estimates of Riemann–Liouville integrals”, Math. USSR-Izv., 36:3 (1991), 669–681

1990
129.	Sberian Mathematical Journal, 31:3 (1990), 513–522
130.	V. D. Stepanov, “On the boundedness and compactness of a class of integral operators”, Dokl. Math., 41:3 (1990), 468–470
131.	V. D. Stepanov, “On one weighted inequality of Hardy type for higher derivatives”, Proc. Steklov Inst. Math., 187 (1990), 205–220

1989
132.	Siberian Mathematical Journal, 30:3 (1989), 457–464
133.	Siberian Mathematical Journal, 30:1 (1989), 8–16
134.	V. D. Stepanov, “Weighted inequalities of Hardy type for higher-order derivatives and their applications”, Dokl. Math., 38:2 (1989), 389–393

1988
135.	V. D. Stepanov, “Multipliers of Fourier integrals generated by characteristic functions of sets”, Dokl. Math., 37:2 (1988), 532–533

1987
136.	Siberian Mathematical Journal, 28:3 (1987), 515–517

1985
137.	V. D. Stepanov, “On the vanishing of the symbol of a convolution integral operator”, Math. USSR-Sb., 51:1 (1985), 239–253

1984
138.	V. D. Stepanov, “On a problem of Halmos and Sunder”, Dokl. Akad. Nauk SSSR, 278:2 (1984), 296–298	1 ^[x]
139.	V. D. Stepanov, “On a problem for integral convolution operators”, Math. USSR-Sb., 48:1 (1984), 211–221
140.	V. D. Stepanov, “Characteristic properties of convolution integral operators”, Proc. Steklov Inst. Math., 161 (1984), 241–250

1982
141.	V. D. Stepanov, “Periodic multipliers of Fourier integrals”, Math. Notes, 32:2 (1982), 551–556
142.	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
143.	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
144.	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]
145.	Siberian Mathematical Journal, 23:2 (1982), 243–255

1981
146.	V. D. Stepanov, “On multipliers of Fourier integrals”, Dokl. Akad. Nauk SSSR, 258:5 (1981), 1063–1065
147.	V. D. Stepanov, “Characteristic properties of convolution integral operators”, Dokl. Akad. Nauk SSSR, 260:4 (1981), 806–808	1 ^[x]

1980
148.	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

1979
149.	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

1978
150.	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
151.	V. D. Stepanov, “Convolution integral operators”, Dokl. Akad. Nauk SSSR, 243:1 (1978), 45–48

1976
152.	V. D. Stepanov, Differ. Uravn., 12:1 (1976), 129–136

1974
153.	Siberian Mathematical Journal, 15:3 (1974), 496–501

Presentations in Math-Net.Ru

1.	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
2.	О прямоугольном операторе Харди в весовых пространствах Лебега V. D. Stepanov Seminar on Operator Theory and Function Theory February 19, 2024 17:30
3.	Strong and weak associated reflexivity of certain function classes V. D. Stepanov International scientific workshop OTHA Fall 2023 December 19, 2023 10:00
4.	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
5.	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
6.	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
7.	On some strong and weak associated functional classes V. D. Stepanov Optimization and nonlinear analysis November 17, 2022 14:00
8.	О сильной и слабой ассоциированности некоторых функциональных классов V. D. Stepanov Seminar on Operator Theory and Function Theory October 10, 2022 17:30
9.	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
10.	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
11.	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
12.	Характеризация ассоциативных функциональных пространств V. D. Stepanov Seminar on Theory of Functions of Real Variables October 12, 2018 18:30
13.	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
14.	О весовых пространствах Соболева на действительной оси V. D. Stepanov Seminar on Theory of Functions of Real Variables October 30, 2015 18:30
15.	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
16.	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
17.	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
18.	Весовые неравенства для сублинейных операторов на полуоси V. D. Stepanov Seminar on Theory of Functions of Real Variables April 24, 2015 18:30
19.	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
20.	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
21.	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
22.	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
23.	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

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