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Stepanov, Vladimir Dmitrievich

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Author ID: stepanov.vladimir-dmitrievich Recent zbMATH articles by "Stepanov, Vladimir Dmitrievich"
Published as: Stepanoff, V.; Stepanov, V.; Stepanov, V. D.; Stepanov, Vladimir; Stepanov, Vladimir D.; Stepanov, Vladimir Dmitrievich
Documents Indexed: 151 Publications since 1924, including 3 Books
Biographic References: 1 Publication
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Serials

31 Doklady Mathematics
11 Siberian Mathematical Journal
8 Soviet Mathematics. Doklady
8 Mathematical Inequalities & Applications
6 Mathematical Notes
6 Journal of the London Mathematical Society. Second Series
6 Sibirskiĭ Matematicheskiĭ Zhurnal
6 Proceedings of the Steklov Institute of Mathematics
4 Mathematische Nachrichten
3 Russian Mathematical Surveys
3 Journal of Inequalities and Applications
2 Analysis Mathematica
2 Canadian Journal of Mathematics
2 Matematicheskiĭ Sbornik. Novaya Seriya
2 Proceedings of the American Mathematical Society
2 Mathematics of the USSR, Sbornik
2 Russian Academy of Sciences. Doklady. Mathematics
2 Complex Variables and Elliptic Equations
2 Banach Journal of Mathematical Analysis
2 Eurasian Mathematical Journal
1 Journal of Mathematical Analysis and Applications
1 Matematicheskie Zametki
1 Acta Scientiarum Mathematicarum
1 Bulletin of the London Mathematical Society
1 Differentsial’nye Uravneniya
1 Differential Equations
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Mathematica Scandinavica
1 Mathematics of the USSR. Izvestiya
1 Transactions of the American Mathematical Society
1 Publicacions Matemàtiques
1 Mathematica Bohemica
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 East Journal on Approximations
1 Sbornik: Mathematics
1 Nonlinear Studies
1 RIMS Kokyuroku
1 Matematicheskie Trudy
1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics
1 Journal of Function Spaces and Applications
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova

Publications by Year

Citations contained in zbMATH

113 Publications have been cited 925 times in 345 Documents Cited by Year
The weighted Hardy inequality: New proofs and the case \(p=1\). Zbl 0856.26012
Sinnamon, Gord; Stepanov, Vladimir D.
66
1996
On embeddings between classical Lorentz spaces. Zbl 0996.46013
Carro, M.; Pick, L.; Soria, J.; Stepanov, V. D.
62
2001
The weighted Hardy’s inequality for nonincreasing functions. Zbl 0786.26015
Stepanov, Vladimir D.
45
1993
On the principle of duality in Lorentz spaces. Zbl 0874.47011
Gol’dman, M. L.; Heinig, H. P.; Stepanov, V. D.
42
1996
Weighted norm inequalities of Hardy type for a class of integral operators. Zbl 0837.26012
Stepanov, Vladimir D.
37
1994
Reduction theorems for weighted integral inequalities on the cone of monotone functions. Zbl 1288.26018
Gogatishvili, A.; Stepanov, V. D.
34
2013
Kernel operators with variable intervals of integration in Lebesgue spaces and applications. Zbl 1190.26012
Stepanov, Vladimir D.; Ushakova, Elena P.
26
2010
Weighted integral inequalities with the geometric mean operator. Zbl 1024.26008
Persson, Lars-Erik; Stepanov, Vladimir D.
25
2002
Integral operators on the cone of monotone functions. Zbl 0837.26011
Stepanov, Vladimir D.
25
1993
On weighted Hardy inequalities in mixed norms. Zbl 1296.46029
Prokhorov, D. V.; Stepanov, V. D.
21
2013
Weighted estimates for the Riemann-Liouville operators and applications. Zbl 1081.26004
Prokhorov, D. V.; Stepanov, V. D.
18
2003
Two-weighted estimates of Riemann-Liouville integrals. Zbl 0705.26015
Stepanov, V. D.
18
1990
On integral operators with variable limits of integration. Zbl 1007.46036
Stepanov, V. D.; Ushakova, E. P.
17
2001
Reduction theorems for operators on the cones of monotone functions. Zbl 1326.47063
Gogatishvili, Amiran; Stepanov, Vladimir D.
16
2013
On the Hardy-type integral operators in Banach function spaces. Zbl 0923.46029
Lomakina, Elena; Stepanov, Vladimir
16
1998
Weighted Hardy inequalities for increasing functions. Zbl 0796.26008
Heinig, H. P.; Stepanov, V. D.
16
1993
Weighted inequalities of Hardy type. Zbl 0729.42007
Batuev, Eh. N.; Stepanov, V. D.
16
1989
Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator. Zbl 1249.47037
Lomakina, E. N.; Stepanov, V. D.
13
2006
Weighted norm inequalities for integral operators and related topics. Zbl 0866.47025
Stepanov, Vladimir D.
13
1994
Hardy-type inequalities on the weighted cones of quasi-concave functions. Zbl 1312.26046
Persson, L.-E.; Shambilova, G. E.; Stepanov, V. D.
12
2015
Weighted inequalities for a class of Volterra convolution operators. Zbl 0703.42011
Stepanov, Vladimir D.
12
1992
Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces. Zbl 1365.26022
Prokhorov, Dmitrii V.; Stepanov, Vladimir D.
11
2016
Estimates for a class of sublinear integral operators. Zbl 1303.45008
Prokhorov, D. V.; Stepanov, V. D.
11
2014
Weighted estimates for a class of sublinear operators. Zbl 1310.47066
Prokhorov, D. V.; Stepanov, V. D.
11
2013
On the geometric mean operator with variable limits of integration. Zbl 1233.42001
Stepanov, V. D.; Ushakova, E. P.
11
2008
On asymptotic behaviour of the approximation numbers and estimates of Schatten-von Neumann norms of the Hardy-type integral operators. Zbl 0998.47033
Lomakina, Elena N.; Stepanov, Vladimir D.
11
2000
Two-weighted estimates of Riemann-Liouville integrals. Zbl 0724.26011
Stepanov, V. D.
11
1991
Hardy-Steklov integral operators. I. Zbl 06908415
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
10
2018
On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces. Zbl 1193.26013
Stepanov, V. D.; Ushakova, E. P.
10
2010
Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions. Zbl 1093.26023
Persson, L.-E.; Stepanov, V. D.; Ushakova, E. P.
10
2006
Hardy operator with variable limits on monotone functions. Zbl 1063.26020
Stepanov, Vladimir D.; Ushakova, Elena P.
10
2003
A duality principle in weighted Sobolev spaces on the real line. Zbl 1345.46028
Eveson, Simon P.; Stepanov, Vladimir D.; Ushakova, Elena P.
9
2015
Some scales of equivalent weight characterizations of Hardy’s inequality: the case \(q < p\). Zbl 1122.26016
Persson, Lars-Erik; Stepanov, Vladimir; Wall, Peter
9
2007
Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces. Zbl 1184.26013
Stepanov, Vladimir D.; Ushakova, Elena P.
8
2009
On the lower bounds for Schatten-von Neumann norms of certain Volterra integral operators. Zbl 0991.47039
Stepanov, Vladimir D.
8
2000
On the singular numbers of certain Volterra integral operators. Zbl 0840.45013
Edmunds, D. E.; Stepanov, V. D.
8
1995
Boundedness of quasilinear integral operators on the cone of monotone functions. Zbl 1360.45012
Stepanov, V. D.; Shambilova, G. E.
7
2016
On the compactness and approximation numbers of Hardy-type integral operators in Lorentz spaces. Zbl 0853.42013
Lomakina, Elena; Stepanov, Vladimir
7
1996
On the best constants in certain integral inequalities for monotone functions. Zbl 0814.26011
Myasnikov, E. A.; Persson, L. E.; Stepanov, V. D.
7
1994
On the discrete Hardy inequality. Zbl 0806.26011
Braverman, Michael Sh.; Stepanov, Vladimir D.
7
1994
Weighted inequalities of Hardy type for fractional Riemann-Liouville integrals. Zbl 0727.42007
Stepanov, V. D.
7
1990
Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions. Zbl 06935978
Stepanov, V. D.; Shambilova, G. E.
6
2018
On associate spaces of weighted Sobolev space on the real line. Zbl 1375.46029
Prokhorov, Dmitrii V.; Stepanov, Vladimir D.; Ushakova, Elena P.
6
2017
The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013
Edmunds, D. E.; Stepanov, V. D.
6
1994
Boundedness of linear integral operators on a class of monotone functions. Zbl 0763.47013
Stepanov, V. D.
6
1991
Weighted Hardy inequality. Zbl 0633.26008
Stepanov, V. D.
6
1987
Bilinear Hardy-Steklov operators. Zbl 07037802
Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P.
5
2018
On weighted Sobolev spaces on the real line. Zbl 1358.46032
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
5
2016
Weight boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 1311.47013
Stepanov, V. D.; Shambilova, G. E.
5
2014
Weighted Hardy-type inequalities on the cone of quasi-concave functions. Zbl 1291.39049
Persson, L.-E.; Popova, O. V.; Stepanov, V. D.
5
2014
Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. Zbl 1237.44005
Stepanov, Vladimir D.; Tikhonov, Sergey Yu.
5
2011
Hardy inequality with three measures on monotone functions. Zbl 1155.26015
Johansson, Maria; Stepanov, Vladimir D.; Ushakova, Elena P.
5
2008
Sawyer’s duality principle for grand Lebesgue spaces. Zbl 1421.46027
Jain, Pankaj; Singh, Arun Pal; Singh, Monika; Stepanov, Vladimir D.
4
2019
Hardy-Steklov integral operators. II. Zbl 07070182
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
4
2018
On bilinear weighted inequalities on the cone of nondecreasing functions. Zbl 1390.26046
Stepanov, V. D.; Shambilova, G. E.
4
2017
Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions. Zbl 06797817
Stepanov, V. D.; Shambilova, G. E.
4
2017
On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions. Zbl 1345.46024
Stepanov, V. D.
4
2015
Integral operators on cones of monotone functions. Zbl 1281.26014
Gogatishvili, A.; Stepanov, V. D.
4
2012
Two-weight inequalities for the Hilbert transform of monotone functions. Zbl 1253.26034
Stepanov, V. D.; Tikhonov, S. Yu.
4
2011
Two-sided Hardy-type inequalities for monotone functions. Zbl 1217.26034
Persson, Lars-Erik; Popova, Olga V.; Stepanov, Vladimir D.
4
2010
Weighted estimates for the integral operators with monotone kernel on a half-axis. Zbl 1084.45005
Stepanov, V. D.; Ushakova, E. P.
4
2004
Some properties of integral convolution operators. Zbl 0472.47027
Korotkov, V. B.; Stepanov, V. D.
4
1979
Sur une propriété caractéristique des fonctions mesurables. JFM 50.0181.01
Stepanov, V.
4
1924
On weighted iterated Hardy-type operators. Zbl 1424.26041
Stepanov, V. D.; Shambilova, G. E.
3
2018
Boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 06703956
Stepanov, V. D.; Shambilova, G. E.
3
2016
Weighted Hardy type inequalities for supremum operators on the cones of monotone functions. Zbl 1346.26009
Persson, Lars-Erik; Shambilova, Guldarya E.; Stepanov, Vladimir D.
3
2016
Some scales of equivalent conditions to characterize the Stieltjes inequality: the case \(q<p\). Zbl 1298.26052
Gogatishvili, Amiran; Persson, Lars-Erik; Stepanov, Vladimir D.; Wall, Peter
3
2014
On scales of equivalent conditions characterizing weighted Stieltjes inequality. Zbl 1261.42005
Gogatishvili, A.; Persson, L.-E.; Stepanov, V. D.; Wall, P.
3
2012
Integral operators on cones of monotone functions. Zbl 1263.47057
Gogatishvili, A.; Stepanov, V. D.
3
2012
On a supremum operator. Zbl 1260.26020
Stepanov, Vladimir D.
3
2012
On supremum operators. Zbl 1236.47008
Prokhorov, D. V.; Stepanov, V. D.
3
2011
On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform. Zbl 1020.26010
Nassyrova, Maria; Persson, Lars-Erik; Stepanov, Vladimir
3
2002
On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis. Zbl 1053.46021
Prokhorov, D. V.; Stepanov, V. D.
3
2002
On maximal overdetermined Hardy’s inequality of second order on a finite interval. Zbl 0936.26010
Nasyrova, Maria; Stepanov, Vladimir
3
1999
On iterated and bilinear integral Hardy-type operators. Zbl 1434.26042
Stepanov, Vladimir D.; Shambilova, Guldarya E.
2
2019
Bilinear weighted inequalities with Volterra integral operators. Zbl 07125253
Stepanov, V. D.; Shambilova, G. E.
2
2019
On bilinear Hardy-Steklov operators. Zbl 07036542
Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P.
2
2018
An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives. Zbl 1145.33003
Stepanov, Vladimir D.
2
2008
An extremal property of Chebyshev polynomials. Zbl 1125.41306
Stepanov, V. D.
2
2005
On Riemann-Liouville operators. Zbl 1146.47305
Prokhorov, D. V.; Stepanov, V. D.
2
2002
Weighted integral inequalities with a geometric mean. Zbl 1044.26014
Persson, L.-E.; Stepanov, V. D.
2
2001
On weighted multidimensional embeddings for monotone functions. Zbl 1075.46507
Barza, Sorina; Persson, Lars-Erik; Stepanov, Vladimir D.
2
2001
Operators of the Hardy-type in Banach function spaces on the semiaxis. Zbl 0958.47022
Lomakina, E. N.; Stepanov, V. D.
2
1998
On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints. Zbl 0894.26007
Nasyrova, Masha; Stepanov, Vladimir
2
1997
On weighted estimates for a class of integral operators. Zbl 0815.47064
Stepanov, V. D.
2
1993
On a problem of Halmos and Sunder. Zbl 0598.47058
Stepanov, V. D.
2
1984
Criteria for a measurable function to generate integral operators. Zbl 0517.47021
Korotkov, V. B.; Stepanov, V. D.
2
1982
On convolution integral operators. Zbl 0417.47022
Stepanov, V. D.
2
1978
On operators in L\(_p(R_n\)) spaces which commute with shifts. Zbl 0297.47028
Stepanov, V. D.
2
1975
Über Operatoren in den Räumen \(L_p (R_n)\), die mit Verschiebungen vertauschbar sind. Zbl 0279.47010
Stepanov, V. D.
2
1974
Bilinear Hardy-type inequalities in weighted Lebesgue spaces. Zbl 1443.26010
Stepanov, Vladimir D.; Ushakova, Elena P.
1
2019
Multidimensional bilinear Hardy inequalities. Zbl 1440.26024
Stepanov, V. D.; Shambilova, G. E.
1
2019
Hardy-Steklov operators and the duality principle in weighted first-order Sobolev spaces on the real axis. Zbl 1421.42013
Stepanov, V. D.; Ushakova, E. P.
1
2019
Iterated integral operators on the cone of monotone functions. Zbl 07035822
Stepanov, V. D.; Shambilova, G. É.
1
2018
Spaces associated with weighted Sobolev spaces on the real line. Zbl 1409.46028
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
1
2018
Hardy-Steklov operators and duality principle in weighted Sobolev spaces of the first order. Zbl 1403.47004
Stepanov, V. D.; Ushakova, E. P.
1
2018
Sawyer duality principle in grand Lebesgue spaces. Zbl 06892214
Jain, P.; Singh, A. P.; Singh, M.; Stepanov, V. D.
1
2018
On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions. Zbl 1344.46025
Stepanov, V. D.
1
2015
Two-sided Hardy-type inequalities for monotone functions. Zbl 1196.26033
Stepanov, V. D.; Persson, L. E.; Popova, O. V.
1
2009
Weight estimates for norms of operators with two variable limits of integration. Zbl 1230.47061
Stepanov, V. D.; Ushakova, E. P.
1
2008
Sawyer’s duality principle for grand Lebesgue spaces. Zbl 1421.46027
Jain, Pankaj; Singh, Arun Pal; Singh, Monika; Stepanov, Vladimir D.
4
2019
On iterated and bilinear integral Hardy-type operators. Zbl 1434.26042
Stepanov, Vladimir D.; Shambilova, Guldarya E.
2
2019
Bilinear weighted inequalities with Volterra integral operators. Zbl 07125253
Stepanov, V. D.; Shambilova, G. E.
2
2019
Bilinear Hardy-type inequalities in weighted Lebesgue spaces. Zbl 1443.26010
Stepanov, Vladimir D.; Ushakova, Elena P.
1
2019
Multidimensional bilinear Hardy inequalities. Zbl 1440.26024
Stepanov, V. D.; Shambilova, G. E.
1
2019
Hardy-Steklov operators and the duality principle in weighted first-order Sobolev spaces on the real axis. Zbl 1421.42013
Stepanov, V. D.; Ushakova, E. P.
1
2019
Hardy-Steklov integral operators. I. Zbl 06908415
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
10
2018
Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions. Zbl 06935978
Stepanov, V. D.; Shambilova, G. E.
6
2018
Bilinear Hardy-Steklov operators. Zbl 07037802
Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P.
5
2018
Hardy-Steklov integral operators. II. Zbl 07070182
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
4
2018
On weighted iterated Hardy-type operators. Zbl 1424.26041
Stepanov, V. D.; Shambilova, G. E.
3
2018
On bilinear Hardy-Steklov operators. Zbl 07036542
Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P.
2
2018
Iterated integral operators on the cone of monotone functions. Zbl 07035822
Stepanov, V. D.; Shambilova, G. É.
1
2018
Spaces associated with weighted Sobolev spaces on the real line. Zbl 1409.46028
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
1
2018
Hardy-Steklov operators and duality principle in weighted Sobolev spaces of the first order. Zbl 1403.47004
Stepanov, V. D.; Ushakova, E. P.
1
2018
Sawyer duality principle in grand Lebesgue spaces. Zbl 06892214
Jain, P.; Singh, A. P.; Singh, M.; Stepanov, V. D.
1
2018
On associate spaces of weighted Sobolev space on the real line. Zbl 1375.46029
Prokhorov, Dmitrii V.; Stepanov, Vladimir D.; Ushakova, Elena P.
6
2017
On bilinear weighted inequalities on the cone of nondecreasing functions. Zbl 1390.26046
Stepanov, V. D.; Shambilova, G. E.
4
2017
Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions. Zbl 06797817
Stepanov, V. D.; Shambilova, G. E.
4
2017
Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces. Zbl 1365.26022
Prokhorov, Dmitrii V.; Stepanov, Vladimir D.
11
2016
Boundedness of quasilinear integral operators on the cone of monotone functions. Zbl 1360.45012
Stepanov, V. D.; Shambilova, G. E.
7
2016
On weighted Sobolev spaces on the real line. Zbl 1358.46032
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
5
2016
Boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 06703956
Stepanov, V. D.; Shambilova, G. E.
3
2016
Weighted Hardy type inequalities for supremum operators on the cones of monotone functions. Zbl 1346.26009
Persson, Lars-Erik; Shambilova, Guldarya E.; Stepanov, Vladimir D.
3
2016
Hardy-type inequalities on the weighted cones of quasi-concave functions. Zbl 1312.26046
Persson, L.-E.; Shambilova, G. E.; Stepanov, V. D.
12
2015
A duality principle in weighted Sobolev spaces on the real line. Zbl 1345.46028
Eveson, Simon P.; Stepanov, Vladimir D.; Ushakova, Elena P.
9
2015
On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions. Zbl 1345.46024
Stepanov, V. D.
4
2015
On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions. Zbl 1344.46025
Stepanov, V. D.
1
2015
Estimates for a class of sublinear integral operators. Zbl 1303.45008
Prokhorov, D. V.; Stepanov, V. D.
11
2014
Weight boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 1311.47013
Stepanov, V. D.; Shambilova, G. E.
5
2014
Weighted Hardy-type inequalities on the cone of quasi-concave functions. Zbl 1291.39049
Persson, L.-E.; Popova, O. V.; Stepanov, V. D.
5
2014
Some scales of equivalent conditions to characterize the Stieltjes inequality: the case \(q<p\). Zbl 1298.26052
Gogatishvili, Amiran; Persson, Lars-Erik; Stepanov, Vladimir D.; Wall, Peter
3
2014
Reduction theorems for weighted integral inequalities on the cone of monotone functions. Zbl 1288.26018
Gogatishvili, A.; Stepanov, V. D.
34
2013
On weighted Hardy inequalities in mixed norms. Zbl 1296.46029
Prokhorov, D. V.; Stepanov, V. D.
21
2013
Reduction theorems for operators on the cones of monotone functions. Zbl 1326.47063
Gogatishvili, Amiran; Stepanov, Vladimir D.
16
2013
Weighted estimates for a class of sublinear operators. Zbl 1310.47066
Prokhorov, D. V.; Stepanov, V. D.
11
2013
Integral operators on cones of monotone functions. Zbl 1281.26014
Gogatishvili, A.; Stepanov, V. D.
4
2012
On scales of equivalent conditions characterizing weighted Stieltjes inequality. Zbl 1261.42005
Gogatishvili, A.; Persson, L.-E.; Stepanov, V. D.; Wall, P.
3
2012
Integral operators on cones of monotone functions. Zbl 1263.47057
Gogatishvili, A.; Stepanov, V. D.
3
2012
On a supremum operator. Zbl 1260.26020
Stepanov, Vladimir D.
3
2012
Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. Zbl 1237.44005
Stepanov, Vladimir D.; Tikhonov, Sergey Yu.
5
2011
Two-weight inequalities for the Hilbert transform of monotone functions. Zbl 1253.26034
Stepanov, V. D.; Tikhonov, S. Yu.
4
2011
On supremum operators. Zbl 1236.47008
Prokhorov, D. V.; Stepanov, V. D.
3
2011
Kernel operators with variable intervals of integration in Lebesgue spaces and applications. Zbl 1190.26012
Stepanov, Vladimir D.; Ushakova, Elena P.
26
2010
On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces. Zbl 1193.26013
Stepanov, V. D.; Ushakova, E. P.
10
2010
Two-sided Hardy-type inequalities for monotone functions. Zbl 1217.26034
Persson, Lars-Erik; Popova, Olga V.; Stepanov, Vladimir D.
4
2010
Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces. Zbl 1184.26013
Stepanov, Vladimir D.; Ushakova, Elena P.
8
2009
Two-sided Hardy-type inequalities for monotone functions. Zbl 1196.26033
Stepanov, V. D.; Persson, L. E.; Popova, O. V.
1
2009
On the geometric mean operator with variable limits of integration. Zbl 1233.42001
Stepanov, V. D.; Ushakova, E. P.
11
2008
Hardy inequality with three measures on monotone functions. Zbl 1155.26015
Johansson, Maria; Stepanov, Vladimir D.; Ushakova, Elena P.
5
2008
An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives. Zbl 1145.33003
Stepanov, Vladimir D.
2
2008
Weight estimates for norms of operators with two variable limits of integration. Zbl 1230.47061
Stepanov, V. D.; Ushakova, E. P.
1
2008
Some scales of equivalent weight characterizations of Hardy’s inequality: the case \(q < p\). Zbl 1122.26016
Persson, Lars-Erik; Stepanov, Vladimir; Wall, Peter
9
2007
Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator. Zbl 1249.47037
Lomakina, E. N.; Stepanov, V. D.
13
2006
Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions. Zbl 1093.26023
Persson, L.-E.; Stepanov, V. D.; Ushakova, E. P.
10
2006
An extremal property of Chebyshev polynomials. Zbl 1125.41306
Stepanov, V. D.
2
2005
On integral operators with monotone kernels. Zbl 1152.45309
Persson, L. E.; Stepanov, V. D.; Ushakova, E. P.
1
2005
Weighted estimates for the integral operators with monotone kernel on a half-axis. Zbl 1084.45005
Stepanov, V. D.; Ushakova, E. P.
4
2004
Weighted estimates for the Riemann-Liouville operators and applications. Zbl 1081.26004
Prokhorov, D. V.; Stepanov, V. D.
18
2003
Hardy operator with variable limits on monotone functions. Zbl 1063.26020
Stepanov, Vladimir D.; Ushakova, Elena P.
10
2003
The method of fictitious domains in the Signorini problem. Zbl 1071.35057
Stepanov, V. D.; Khludnev, A. M.
1
2003
Weighted integral inequalities with the geometric mean operator. Zbl 1024.26008
Persson, Lars-Erik; Stepanov, Vladimir D.
25
2002
On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform. Zbl 1020.26010
Nassyrova, Maria; Persson, Lars-Erik; Stepanov, Vladimir
3
2002
On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis. Zbl 1053.46021
Prokhorov, D. V.; Stepanov, V. D.
3
2002
On Riemann-Liouville operators. Zbl 1146.47305
Prokhorov, D. V.; Stepanov, V. D.
2
2002
On embeddings between classical Lorentz spaces. Zbl 0996.46013
Carro, M.; Pick, L.; Soria, J.; Stepanov, V. D.
62
2001
On integral operators with variable limits of integration. Zbl 1007.46036
Stepanov, V. D.; Ushakova, E. P.
17
2001
Weighted integral inequalities with a geometric mean. Zbl 1044.26014
Persson, L.-E.; Stepanov, V. D.
2
2001
On weighted multidimensional embeddings for monotone functions. Zbl 1075.46507
Barza, Sorina; Persson, Lars-Erik; Stepanov, Vladimir D.
2
2001
On asymptotic behaviour of the approximation numbers and estimates of Schatten-von Neumann norms of the Hardy-type integral operators. Zbl 0998.47033
Lomakina, Elena N.; Stepanov, Vladimir D.
11
2000
On the lower bounds for Schatten-von Neumann norms of certain Volterra integral operators. Zbl 0991.47039
Stepanov, Vladimir D.
8
2000
On maximal overdetermined Hardy’s inequality of second order on a finite interval. Zbl 0936.26010
Nasyrova, Maria; Stepanov, Vladimir
3
1999
On the Hardy-type integral operators in Banach function spaces. Zbl 0923.46029
Lomakina, Elena; Stepanov, Vladimir
16
1998
Operators of the Hardy-type in Banach function spaces on the semiaxis. Zbl 0958.47022
Lomakina, E. N.; Stepanov, V. D.
2
1998
On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints. Zbl 0894.26007
Nasyrova, Masha; Stepanov, Vladimir
2
1997
The weighted Hardy inequality: New proofs and the case \(p=1\). Zbl 0856.26012
Sinnamon, Gord; Stepanov, Vladimir D.
66
1996
On the principle of duality in Lorentz spaces. Zbl 0874.47011
Gol’dman, M. L.; Heinig, H. P.; Stepanov, V. D.
42
1996
On the compactness and approximation numbers of Hardy-type integral operators in Lorentz spaces. Zbl 0853.42013
Lomakina, Elena; Stepanov, Vladimir
7
1996
On the singular numbers of certain Volterra integral operators. Zbl 0840.45013
Edmunds, D. E.; Stepanov, V. D.
8
1995
On the principle of duality in Lorentz spaces. Zbl 0889.46031
Gol’dman, M. L.; Stepanov, V. D.; Heinig, H. P.
1
1995
Weighted norm inequalities of Hardy type for a class of integral operators. Zbl 0837.26012
Stepanov, Vladimir D.
37
1994
Weighted norm inequalities for integral operators and related topics. Zbl 0866.47025
Stepanov, Vladimir D.
13
1994
On the best constants in certain integral inequalities for monotone functions. Zbl 0814.26011
Myasnikov, E. A.; Persson, L. E.; Stepanov, V. D.
7
1994
On the discrete Hardy inequality. Zbl 0806.26011
Braverman, Michael Sh.; Stepanov, Vladimir D.
7
1994
The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013
Edmunds, D. E.; Stepanov, V. D.
6
1994
On the singular numbers of a class of integral operators. Zbl 0883.47017
Stepanov, V. D.
1
1994
The weighted Hardy’s inequality for nonincreasing functions. Zbl 0786.26015
Stepanov, Vladimir D.
45
1993
Integral operators on the cone of monotone functions. Zbl 0837.26011
Stepanov, Vladimir D.
25
1993
Weighted Hardy inequalities for increasing functions. Zbl 0796.26008
Heinig, H. P.; Stepanov, V. D.
16
1993
On weighted estimates for a class of integral operators. Zbl 0815.47064
Stepanov, V. D.
2
1993
On the measure of noncompactness and approximation numbers of a class of Volterra integral operators. Zbl 0815.45006
Stepanov, V. D.; Edmunds, D. E.
1
1993
Weighted inequalities for a class of Volterra convolution operators. Zbl 0703.42011
Stepanov, Vladimir D.
12
1992
Two-weighted estimates of Riemann-Liouville integrals. Zbl 0724.26011
Stepanov, V. D.
11
1991
Boundedness of linear integral operators on a class of monotone functions. Zbl 0763.47013
Stepanov, V. D.
6
1991
On integral operators on the cone of monotone functions, and on imbeddings of Lorentz spaces. Zbl 0749.46016
Stepanov, V. D.
1
1991
Two-weighted estimates of Riemann-Liouville integrals. Zbl 0705.26015
Stepanov, V. D.
18
1990
Weighted inequalities of Hardy type for fractional Riemann-Liouville integrals. Zbl 0727.42007
Stepanov, V. D.
7
1990
On boundedness and compactness of a class of integral operators. Zbl 0733.47033
Stepanov, V. D.
1
1990
On a weighted inequality of Hardy type for derivatives of higher order. Zbl 0705.26014
Stepanov, V. D.
1
1990
Weighted inequalities of Hardy type. Zbl 0729.42007
Batuev, Eh. N.; Stepanov, V. D.
16
1989
...and 13 more Documents
all top 5

Cited by 279 Authors

55 Stepanov, Vladimir Dmitrievich
26 Gogatishvili, Amiran
24 Persson, Lars-Erik
21 Ushakova, Elena Pavlovna
20 Prokhorov, Dmitriĭ Vladimirovich
19 Shambilova, Guldarya Ermakovna
16 Guliyev, Vagif Sabir
13 Jain, Pankaj
13 Vasil’eva, Anastasiya Andreevna
10 Cianchi, Andrea
10 Oĭnarov, Ryskul Oĭnarovich
10 Pick, Luboš
10 Soria, Javier
9 Křepela, Martin
8 Neves, Júlio Severino
7 Gol’dman, Mikhail L’vovich
7 Mustafayev, Rza Ch.
7 Nasibullin, Ramil Gaisa’evich
6 Boza, Santiago
6 Burenkov, Viktor Ivanovich
6 Fiorenza, Alberto
6 Korotkov, Vitalii Borisovich
6 Opic, Bohumír
6 Sinnamon, Gord
5 Kalybay, Aigerim Aisultankyzy
5 Kamińska, Anna
4 Alberico, Angela
4 Avkhadiev, Farit Gabidinovich
4 Ciesielski, Maciej
4 Edmunds, David Eric
4 Kanjilal, Saikat
4 Kerman, Ron
4 Kufner, Alois
4 Maligranda, Lech
4 Maz’ya, Vladimir Gilelevich
4 Meskhi, Alexander
4 Okpoti, Christopher Adjei
4 Temirkhanova, Ainur Maralkyzy
4 Vasil’eva, Anastasia Andreevna
3 Abylaeva, Akbota Muhamediyarovna
3 Bandaliev, Rovshan Alifaga ogly
3 Carro, María Jesús
3 Gupta, Babita
3 Haroske, Dorothee D.
3 Kopaliani, Tengiz
3 Li, Hongliang
3 Liflyand, Elijah
3 Liu, Zhuangyi
3 Lomakina, Elena N.
3 Martín, Joaquim
3 Domingues de Moura, Susana
3 Nekvinda, Aleš
3 Popova, Olga V.
3 Rakotondratsimba, Yves
3 Samko, Stefan Grigorievich
3 Singh, Monika
3 Slavíková, Lenka
3 Zhang, Qiong
2 Aliev, Rashid A.
2 Aliev, Seymur S.
2 Amrahova, Aynur F.
2 Asif, Muhammad
2 Barza, Sorina
2 Bennett, Grahame
2 Bilgiçli, Nevin
2 Cruz-Uribe, David Vincente
2 Farsani, Soroosh Mohammadi
2 Formica, Maria Rosaria
2 Gao, Guilian
2 Golberg, Anatoly
2 Grosse-Erdmann, Karl-Goswin
2 Guliev, G. V.
2 Jain, Pawan Kumar
2 Jain, Sandhya
2 Johansson, Maria
2 Karaman, Turhan
2 Kopylov, Yaroslav Anatol’evich
2 Leśnik, Karol
2 Luor, Dahchin
2 Makarov, R. V.
2 Mamedov, Farman Imran
2 Mastyło, Mieczysław
2 Mizuta, Yoshihiro
2 Nasyrova, Maria G.
2 Nguyen Minh Chuong
2 Nowak, Adam
2 Ortega Salvador, Pedro
2 Pečarić, Josip
2 Płuciennik, Ryszard
2 Prokhorov, Danil V.
2 Rakotoson, Jean-Michel
2 Rutka, Przemysław
2 Ruzhansky, Michael V.
2 Saker, Samir H.
2 Sbordone, Carlo
2 Schneider, Cornelia
2 Shimomura, Tetsu
2 Singh, Arun Pal
2 Smarzewski, Ryszard
2 Soudský, Filip
...and 179 more Authors
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Cited in 102 Serials

32 Doklady Mathematics
25 Siberian Mathematical Journal
18 Journal of Mathematical Analysis and Applications
12 Proceedings of the Steklov Institute of Mathematics
11 Mathematische Nachrichten
11 Journal of Inequalities and Applications
11 Eurasian Mathematical Journal
10 Mathematical Notes
8 Proceedings of the American Mathematical Society
7 Journal of Approximation Theory
7 Russian Journal of Mathematical Physics
7 Mathematical Inequalities & Applications
6 Journal of Functional Analysis
6 Zeitschrift für Analysis und ihre Anwendungen
5 Journal of Mathematical Sciences (New York)
5 Positivity
5 Journal of Function Spaces and Applications
4 Analysis Mathematica
4 Journal d’Analyse Mathématique
4 Studia Mathematica
4 Collectanea Mathematica
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Potential Analysis
4 St. Petersburg Mathematical Journal
4 Revista Matemática Complutense
4 Lobachevskii Journal of Mathematics
4 Complex Variables and Elliptic Equations
3 Israel Journal of Mathematics
3 Integral Equations and Operator Theory
3 Journal of Computational and Applied Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Russian Mathematics
3 The Journal of Fourier Analysis and Applications
3 Acta Mathematica Sinica. English Series
3 Banach Journal of Mathematical Analysis
3 Journal of Function Spaces
2 Bulletin of the Australian Mathematical Society
2 Russian Mathematical Surveys
2 Ukrainian Mathematical Journal
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
2 Czechoslovak Mathematical Journal
2 Mathematische Annalen
2 SIAM Journal on Control and Optimization
2 Transactions of the American Mathematical Society
2 Journal of Complexity
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Sbornik: Mathematics
2 Izvestiya: Mathematics
2 Communications on Pure and Applied Analysis
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Mediterranean Journal of Mathematics
2 Complex Analysis and Operator Theory
2 Journal of Mathematical Inequalities
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Analysis and Mathematical Physics
1 Archive for Rational Mechanics and Analysis
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Canadian Journal of Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Mathematica Scandinavica
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Quaestiones Mathematicae
1 Real Analysis Exchange
1 Advances in Applied Mathematics
1 Bulletin of the Iranian Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Forum Mathematicum
1 The Journal of Geometric Analysis
1 Aequationes Mathematicae
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Calculus of Variations and Partial Differential Equations
1 Annales Mathématiques Blaise Pascal
1 Turkish Journal of Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Bulletin des Sciences Mathématiques
1 Integral Transforms and Special Functions
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 Trudy Instituta Matematiki
1 Computational Methods in Applied Mathematics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Portugaliae Mathematica. Nova Série
1 Advances in Calculus of Variations
1 Tbilisi Mathematical Journal
1 Differential Equations and Applications
1 Commentationes Mathematicae
1 Science China. Mathematics
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Caspian Journal of Applied Mathematics, Ecology and Economics
1 Journal of Elliptic and Parabolic Equations
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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