Edit Profile (opens in new tab) Stepanov, Vladimir Dmitrievich Compute Distance To: Compute Author ID: stepanov.vladimir-dmitrievich Published as: Stepanov, V. D.; Stepanov, Vladimir D.; Stepanov, Vladimir; Stepanov, Vladimir Dmitrievich more...less Documents Indexed: 156 Publications since 1924 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 60 Co-Authors with 102 Joint Publications 1,730 Co-Co-Authors all top 5 Co-Authors 57 single-authored 26 Ushakova, Elena Pavlovna 19 Shambilova, Guldarya Ermakovna 15 Persson, Lars-Erik 15 Prokhorov, Dmitriĭ Vladimirovich 8 Jain, Pankaj 7 Lomakina, Elena N. 6 Gogatishvili, Amiran 6 Gol’dman, Mikhail L’vovich 4 Burenkov, Viktor Ivanovich 3 Edmunds, David Eric 3 Heinig, Hans P. 3 Kanjilal, Saikat 3 Nasyrova, Maria G. 3 Popova, Olga V. 3 Singh, Arun Pal 3 Singh, Monika 3 Wall, Peter 2 Khludnev, Aleksandr Mikhaĭlovich 2 Korotkov, Vitalii Borisovich 2 Tikhonov, Sergey Yur’evich 1 Abanin, Aleksandr Vasil’evich 1 Aksent’ev, Leonid Aleksandrovich 1 Aptekarev, Alexander Ivanovich 1 Avsyankin, Oleg Gennadievich 1 Barza, Sorina 1 Batuev, Eh. N. 1 Bikchentaev, Aĭrat Midkhatovich 1 Braverman, Michael Sh. 1 Carro, María Jesús 1 Dubinin, Vladimir N. 1 Elizarov, A. M. 1 Erusalimskii, Yakov M. 1 Eveson, Simon P. 1 Goryainov, Viktor V. 1 Guliyev, Vagif Sabir 1 Jain, Sandhya 1 Johansson, Maria 1 Karapetyants, Alekseĭ Nikolaevich 1 Karyakin, Mikhail I. 1 Kayumov, Il’giz Rifatovich 1 Kokilashvili, Vakhtang Mikhailovich 1 Kusraev, Anatoly Georgievich 1 Laptev, Ari 1 Liflyand, Elijah 1 Myasnikov, E. A. 1 Nasyrov, Semen R. 1 Pick, Luboš 1 Pskhu, Arsen Vladimirovich 1 Rabinovich, Vladimir Samuilovich 1 Rogosin, Sergei V. 1 Rubin, Boris 1 Sergeev, Armen Glebovich 1 Sinnamon, Gord 1 Soldatov, Aleksandr Pavlovich 1 Soria, Javier 1 Spitkovsky, Ilya Matvey 1 Umarkhadzhiev, Salaudin Musaevich 1 Umarov, Khasan Galsanovich 1 Vakulov, Boris Grigorievich 1 Vodop’yanov, Sergeĭ Konstantinovich all top 5 Serials 32 Doklady Mathematics 11 Siberian Mathematical Journal 11 Mathematical Inequalities & Applications 8 Soviet Mathematics. Doklady 7 Mathematical Notes 7 Proceedings of the Steklov Institute of Mathematics 6 Journal of the London Mathematical Society. Second Series 6 Sibirskiĭ Matematicheskiĭ Zhurnal 4 Mathematische Nachrichten 3 Russian Mathematical Surveys 3 Journal of Inequalities and Applications 2 Analysis Mathematica 2 Journal of Mathematical Analysis and Applications 2 Canadian Journal of Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Proceedings of the American Mathematical Society 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Mathematics of the USSR, Sbornik 2 Russian Academy of Sciences. Doklady. Mathematics 2 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 2 Recueil Mathématique 2 Complex Variables and Elliptic Equations 2 Banach Journal of Mathematical Analysis 2 Eurasian Mathematical Journal 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 East Journal on Approximations 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Nonlinear Studies 1 RIMS Kokyuroku 1 Matematicheskie Trudy 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Journal of Function Spaces and Applications 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 75 Operator theory (47-XX) 70 Real functions (26-XX) 55 Functional analysis (46-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 23 Integral equations (45-XX) 13 Integral transforms, operational calculus (44-XX) 7 Partial differential equations (35-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 123 Publications have been cited 1,087 times in 421 Documents Cited by ▼ Year ▼ The weighted Hardy inequality: New proofs and the case \(p=1\). Zbl 0856.26012Sinnamon, Gord; Stepanov, Vladimir D. 75 1996 On embeddings between classical Lorentz spaces. Zbl 0996.46013Carro, M.; Pick, L.; Soria, J.; Stepanov, V. D. 71 2001 The weighted Hardy’s inequality for nonincreasing functions. Zbl 0786.26015Stepanov, Vladimir D. 49 1993 On the principle of duality in Lorentz spaces. Zbl 0874.47011Gol’dman, M. L.; Heinig, H. P.; Stepanov, V. D. 44 1996 Reduction theorems for weighted integral inequalities on the cone of monotone functions. Zbl 1288.26018Gogatishvili, A.; Stepanov, V. D. 40 2013 Weighted norm inequalities of Hardy type for a class of integral operators. Zbl 0837.26012Stepanov, Vladimir D. 37 1994 Weighted integral inequalities with the geometric mean operator. Zbl 1024.26008Persson, Lars-Erik; Stepanov, Vladimir D. 31 2002 Kernel operators with variable intervals of integration in Lebesgue spaces and applications. Zbl 1190.26012Stepanov, Vladimir D.; Ushakova, Elena P. 28 2010 Integral operators on the cone of monotone functions. Zbl 0837.26011Stepanov, Vladimir D. 26 1993 Weighted inequalities of Hardy type. Zbl 0729.42007Batuev, Eh. N.; Stepanov, V. D. 23 1989 Weighted estimates for the Riemann-Liouville operators and applications. Zbl 1081.26004Prokhorov, D. V.; Stepanov, V. D. 21 2003 On weighted Hardy inequalities in mixed norms. Zbl 1296.46029Prokhorov, D. V.; Stepanov, V. D. 21 2013 On integral operators with variable limits of integration. Zbl 1007.46036Stepanov, V. D.; Ushakova, E. P. 20 2001 On the Hardy-type integral operators in Banach function spaces. Zbl 0923.46029Lomakina, Elena; Stepanov, Vladimir 19 1998 Two-weighted estimates of Riemann-Liouville integrals. Zbl 0705.26015Stepanov, V. D. 18 1990 Weighted Hardy inequalities for increasing functions. Zbl 0796.26008Heinig, H. P.; Stepanov, V. D. 18 1993 Reduction theorems for operators on the cones of monotone functions. Zbl 1326.47063Gogatishvili, Amiran; Stepanov, Vladimir D. 16 2013 Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator. Zbl 1249.47037Lomakina, E. N.; Stepanov, V. D. 15 2006 Hardy-Steklov integral operators. I. Zbl 06908415Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. 14 2018 Weighted inequalities for a class of Volterra convolution operators. Zbl 0703.42011Stepanov, Vladimir D. 14 1992 Weighted norm inequalities for integral operators and related topics. Zbl 0866.47025Stepanov, Vladimir D. 14 1994 On asymptotic behaviour of the approximation numbers and estimates of Schatten-von Neumann norms of the Hardy-type integral operators. Zbl 0998.47033Lomakina, Elena N.; Stepanov, Vladimir D. 13 2000 On the geometric mean operator with variable limits of integration. Zbl 1233.42001Stepanov, V. D.; Ushakova, E. P. 12 2008 Weighted estimates for a class of sublinear operators. Zbl 1310.47066Prokhorov, D. V.; Stepanov, V. D. 12 2013 Two-weighted estimates of Riemann-Liouville integrals. Zbl 0724.26011Stepanov, V. D. 12 1991 Hardy-type inequalities on the weighted cones of quasi-concave functions. Zbl 1312.26046Persson, L.-E.; Shambilova, G. E.; Stepanov, V. D. 12 2015 Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces. Zbl 1365.26022Prokhorov, Dmitrii V.; Stepanov, Vladimir D. 12 2016 Hardy operator with variable limits on monotone functions. Zbl 1063.26020Stepanov, Vladimir D.; Ushakova, Elena P. 12 2003 On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces. Zbl 1193.26013Stepanov, V. D.; Ushakova, E. P. 11 2010 Estimates for a class of sublinear integral operators. Zbl 1303.45008Prokhorov, D. V.; Stepanov, V. D. 11 2014 On the discrete Hardy inequality. Zbl 0806.26011Braverman, Michael Sh.; Stepanov, Vladimir D. 11 1994 Some scales of equivalent weight characterizations of Hardy’s inequality: the case \(q < p\). Zbl 1122.26016Persson, Lars-Erik; Stepanov, Vladimir; Wall, Peter 11 2007 On the lower bounds for Schatten-von Neumann norms of certain Volterra integral operators. Zbl 0991.47039Stepanov, Vladimir D. 10 2000 Boundedness of linear integral operators on a class of monotone functions. Zbl 0763.47013Stepanov, V. D. 10 1991 On the singular numbers of certain Volterra integral operators. Zbl 0840.45013Edmunds, D. E.; Stepanov, V. D. 10 1995 Weighted Hardy inequality. Zbl 0633.26008Stepanov, V. D. 10 1987 Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions. Zbl 1093.26023Persson, L.-E.; Stepanov, V. D.; Ushakova, E. P. 10 2006 On associate spaces of weighted Sobolev space on the real line. Zbl 1375.46029Prokhorov, Dmitrii V.; Stepanov, Vladimir D.; Ushakova, Elena P. 10 2017 Bilinear Hardy-Steklov operators. Zbl 07037802Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P. 9 2018 On the compactness and approximation numbers of Hardy-type integral operators in Lorentz spaces. Zbl 0853.42013Lomakina, Elena; Stepanov, Vladimir 9 1996 A duality principle in weighted Sobolev spaces on the real line. Zbl 1345.46028Eveson, Simon P.; Stepanov, Vladimir D.; Ushakova, Elena P. 9 2015 Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions. Zbl 1473.26033Stepanov, V. D.; Shambilova, G. E. 8 2018 Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces. Zbl 1184.26013Stepanov, Vladimir D.; Ushakova, Elena P. 8 2009 Weighted inequalities of Hardy type for fractional Riemann-Liouville integrals. Zbl 0727.42007Stepanov, V. D. 8 1990 Boundedness of quasilinear integral operators on the cone of monotone functions. Zbl 1360.45012Stepanov, V. D.; Shambilova, G. E. 7 2016 On the best constants in certain integral inequalities for monotone functions. Zbl 0814.26011Myasnikov, E. A.; Persson, L. E.; Stepanov, V. D. 7 1994 The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013Edmunds, D. E.; Stepanov, V. D. 7 1994 Sawyer’s duality principle for grand Lebesgue spaces. Zbl 1421.46027Jain, Pankaj; Singh, Arun Pal; Singh, Monika; Stepanov, Vladimir D. 7 2019 Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. Zbl 1237.44005Stepanov, Vladimir D.; Tikhonov, Sergey Yu. 6 2011 Two-weight inequalities for the Hilbert transform of monotone functions. Zbl 1253.26034Stepanov, V. D.; Tikhonov, S. Yu. 6 2011 On weighted Sobolev spaces on the real line. Zbl 1358.46032Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. 6 2016 Hardy inequality with three measures on monotone functions. Zbl 1155.26015Johansson, Maria; Stepanov, Vladimir D.; Ushakova, Elena P. 6 2008 On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions. Zbl 1345.46024Stepanov, V. D. 6 2015 On iterated and bilinear integral Hardy-type operators. Zbl 1434.26042Stepanov, Vladimir D.; Shambilova, Guldarya E. 5 2019 On bilinear weighted inequalities on the cone of nondecreasing functions. Zbl 1390.26046Stepanov, V. D.; Shambilova, G. E. 5 2017 Weighted estimates for the integral operators with monotone kernel on a half-axis. Zbl 1084.45005Stepanov, V. D.; Ushakova, E. P. 5 2004 On bilinear Hardy-Steklov operators. Zbl 1480.47067Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P. 5 2018 On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints. Zbl 0894.26007Nasyrova, Masha; Stepanov, Vladimir 5 1997 Integral operators on cones of monotone functions. Zbl 1281.26014Gogatishvili, A.; Stepanov, V. D. 5 2012 Hardy-Steklov integral operators. II. Zbl 07070182Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. 5 2018 Weighted Hardy-type inequalities on the cone of quasi-concave functions. Zbl 1291.39049Persson, L.-E.; Popova, O. V.; Stepanov, V. D. 5 2014 Weight boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 1311.47013Stepanov, V. D.; Shambilova, G. E. 5 2014 Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line. Zbl 1455.46038Prokhorov, Dmitriĭ V.; Stepanov, Vladimir D.; Ushakova, Elena P. 4 2019 On weighted iterated Hardy-type operators. Zbl 1424.26041Stepanov, V. D.; Shambilova, G. E. 4 2018 Bilinear weighted inequalities with Volterra integral operators. Zbl 07125253Stepanov, V. D.; Shambilova, G. E. 4 2019 Two-sided Hardy-type inequalities for monotone functions. Zbl 1217.26034Persson, Lars-Erik; Popova, Olga V.; Stepanov, Vladimir D. 4 2010 Some properties of integral convolution operators. Zbl 0472.47027Korotkov, V. B.; Stepanov, V. D. 4 1979 Sur une propriété caractéristique des fonctions mesurables. JFM 50.0181.01Stepanov, V. 4 1924 Integral operators on cones of monotone functions. Zbl 1263.47057Gogatishvili, A.; Stepanov, V. D. 4 2012 Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions. Zbl 1495.45009Stepanov, V. D.; Shambilova, G. E. 4 2017 Bilinear Hardy-type inequalities in weighted Lebesgue spaces. Zbl 1443.26010Stepanov, Vladimir D.; Ushakova, Elena P. 3 2019 On a weighted inequality of Hardy type for derivatives of higher order. Zbl 0705.26014Stepanov, V. D. 3 1990 On weighted multidimensional embeddings for monotone functions. Zbl 1075.46507Barza, Sorina; Persson, Lars-Erik; Stepanov, Vladimir D. 3 2001 On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis. Zbl 1053.46021Prokhorov, D. V.; Stepanov, V. D. 3 2002 On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform. Zbl 1020.26010Nassyrova, Maria; Persson, Lars-Erik; Stepanov, Vladimir 3 2002 On supremum operators. Zbl 1236.47008Prokhorov, D. V.; Stepanov, V. D. 3 2011 Multidimensional bilinear Hardy inequalities. Zbl 1440.26024Stepanov, V. D.; Shambilova, G. E. 3 2019 LCT based integral transforms and Hausdorff operators. Zbl 1463.44008Jain, Pankaj; Jain, Sandhya; Stepanov, Vladimir Dmitrievich 3 2020 Multidimensional bilinear Hardy inequalities. Zbl 1450.26013Stepanov, V. D.; Shambilova, G. E. 3 2020 On scales of equivalent conditions characterizing weighted Stieltjes inequality. Zbl 1261.42005Gogatishvili, A.; Persson, L.-E.; Stepanov, V. D.; Wall, P. 3 2012 On maximal overdetermined Hardy’s inequality of second order on a finite interval. Zbl 0936.26010Nasyrova, Maria; Stepanov, Vladimir 3 1999 On a supremum operator. Zbl 1260.26020Stepanov, Vladimir D. 3 2012 On weighted estimates for a class of integral operators. Zbl 0815.47064Stepanov, V. D. 3 1993 Boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 1489.47071Stepanov, V. D.; Shambilova, G. E. 3 2016 Weighted Hardy type inequalities for supremum operators on the cones of monotone functions. Zbl 1346.26009Persson, 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 1298.26052Gogatishvili, Amiran; Persson, Lars-Erik; Stepanov, Vladimir D.; Wall, Peter 3 2014 Bilinear weighted Hardy-type inequalities in discrete and \(q\)-calculus frameworks. Zbl 1467.26008Jain, Pankaj; Kanjilal, Saikat; Shambilova, Guldarya E.; Stepanov, Vladimir D. 3 2020 Operators of the Hardy-type in Banach function spaces on the semiaxis. Zbl 0958.47022Lomakina, E. N.; Stepanov, V. D. 2 1998 On two-dimensional bilinear inequalities with rectangular Hardy operators in weighted Lebesgue spaces. Zbl 1480.26012Stepanov, V. D.; Shambilova, G. E. 2 2021 Spaces associated with weighted Sobolev spaces on the real line. Zbl 1409.46028Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. 2 2018 Criteria for a measurable function to generate integral operators. Zbl 0517.47021Korotkov, V. B.; Stepanov, V. D. 2 1982 On operators in L\(_p(R_n\)) spaces which commute with shifts. Zbl 0297.47028Stepanov, V. D. 2 1975 Über Operatoren in den Räumen \(L_p (R_n)\), die mit Verschiebungen vertauschbar sind. Zbl 0279.47010Stepanov, V. D. 2 1974 On the singular numbers of a class of integral operators. Zbl 0883.47017Stepanov, V. D. 2 1994 On a problem of Halmos and Sunder. Zbl 0598.47058Stepanov, V. D. 2 1984 On Riemann-Liouville operators. Zbl 1146.47305Prokhorov, D. V.; Stepanov, V. D. 2 2002 On weighted Hardy inequality with two-dimensional rectangular operator – extension of the E. Sawyer theorem. Zbl 1479.26024Stepanov, Vladimir D.; Ushakova, Elena P. 2 2021 On the principle of duality in Lorentz spaces. Zbl 0889.46031Gol’dman, M. L.; Stepanov, V. D.; Heinig, H. P. 2 1995 On the measure of noncompactness and approximation numbers of a class of Volterra integral operators. Zbl 0815.45006Stepanov, V. D.; Edmunds, D. E. 2 1993 An extremal property of Chebyshev polynomials. Zbl 1125.41306Stepanov, V. D. 2 2005 Compactness of the two-dimensional rectangular Hardy operator. Zbl 07531866Stepanov, Vladimir Dmitrievich; Ushakova, Elena Pavlovna 1 2022 On two-dimensional bilinear inequalities with rectangular Hardy operators in weighted Lebesgue spaces. Zbl 1480.26012Stepanov, V. D.; Shambilova, G. E. 2 2021 On weighted Hardy inequality with two-dimensional rectangular operator – extension of the E. Sawyer theorem. Zbl 1479.26024Stepanov, Vladimir D.; Ushakova, Elena P. 2 2021 LCT based integral transforms and Hausdorff operators. Zbl 1463.44008Jain, Pankaj; Jain, Sandhya; Stepanov, Vladimir Dmitrievich 3 2020 Multidimensional bilinear Hardy inequalities. Zbl 1450.26013Stepanov, V. D.; Shambilova, G. E. 3 2020 Bilinear weighted Hardy-type inequalities in discrete and \(q\)-calculus frameworks. Zbl 1467.26008Jain, Pankaj; Kanjilal, Saikat; Shambilova, Guldarya E.; Stepanov, Vladimir D. 3 2020 On the duality of grand Bochner-Lebesgue spaces. Zbl 1456.46037Jain, P.; Singh, M.; Singh, A. P.; Stepanov, V. D. 1 2020 Sawyer’s duality principle for grand Lebesgue spaces. Zbl 1421.46027Jain, Pankaj; Singh, Arun Pal; Singh, Monika; Stepanov, Vladimir D. 7 2019 On iterated and bilinear integral Hardy-type operators. Zbl 1434.26042Stepanov, Vladimir D.; Shambilova, Guldarya E. 5 2019 Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line. Zbl 1455.46038Prokhorov, Dmitriĭ V.; Stepanov, Vladimir D.; Ushakova, Elena P. 4 2019 Bilinear weighted inequalities with Volterra integral operators. Zbl 07125253Stepanov, V. D.; Shambilova, G. E. 4 2019 Bilinear Hardy-type inequalities in weighted Lebesgue spaces. Zbl 1443.26010Stepanov, Vladimir D.; Ushakova, Elena P. 3 2019 Multidimensional bilinear Hardy inequalities. Zbl 1440.26024Stepanov, V. D.; Shambilova, G. E. 3 2019 Hardy-Steklov operators and the duality principle in weighted first-order Sobolev spaces on the real axis. Zbl 1421.42013Stepanov, V. D.; Ushakova, E. P. 2 2019 Hardy-Steklov integral operators. I. Zbl 06908415Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. 14 2018 Bilinear Hardy-Steklov operators. Zbl 07037802Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P. 9 2018 Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions. Zbl 1473.26033Stepanov, V. D.; Shambilova, G. E. 8 2018 On bilinear Hardy-Steklov operators. Zbl 1480.47067Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P. 5 2018 Hardy-Steklov integral operators. II. Zbl 07070182Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. 5 2018 On weighted iterated Hardy-type operators. Zbl 1424.26041Stepanov, V. D.; Shambilova, G. E. 4 2018 Spaces associated with weighted Sobolev spaces on the real line. Zbl 1409.46028Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. 2 2018 Hardy-Steklov operators and duality principle in weighted Sobolev spaces of the first order. Zbl 1403.47004Stepanov, V. D.; Ushakova, E. P. 1 2018 Sawyer duality principle in grand Lebesgue spaces. Zbl 06892214Jain, P.; Singh, A. P.; Singh, M.; Stepanov, V. D. 1 2018 Iterated integral operators on the cone of monotone functions. Zbl 07035822Stepanov, V. D.; Shambilova, G. É. 1 2018 On associate spaces of weighted Sobolev space on the real line. Zbl 1375.46029Prokhorov, Dmitrii V.; Stepanov, Vladimir D.; Ushakova, Elena P. 10 2017 On bilinear weighted inequalities on the cone of nondecreasing functions. Zbl 1390.26046Stepanov, V. D.; Shambilova, G. E. 5 2017 Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions. Zbl 1495.45009Stepanov, V. D.; Shambilova, G. E. 4 2017 Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces. Zbl 1365.26022Prokhorov, Dmitrii V.; Stepanov, Vladimir D. 12 2016 Boundedness of quasilinear integral operators on the cone of monotone functions. Zbl 1360.45012Stepanov, V. D.; Shambilova, G. E. 7 2016 On weighted Sobolev spaces on the real line. Zbl 1358.46032Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. 6 2016 Boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 1489.47071Stepanov, V. D.; Shambilova, G. E. 3 2016 Weighted Hardy type inequalities for supremum operators on the cones of monotone functions. Zbl 1346.26009Persson, Lars-Erik; Shambilova, Guldarya E.; Stepanov, Vladimir D. 3 2016 Hardy-type inequalities on the weighted cones of quasi-concave functions. Zbl 1312.26046Persson, L.-E.; Shambilova, G. E.; Stepanov, V. D. 12 2015 A duality principle in weighted Sobolev spaces on the real line. Zbl 1345.46028Eveson, Simon P.; Stepanov, Vladimir D.; Ushakova, Elena P. 9 2015 On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions. Zbl 1345.46024Stepanov, V. D. 6 2015 On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions. Zbl 1344.46025Stepanov, V. D. 1 2015 Estimates for a class of sublinear integral operators. Zbl 1303.45008Prokhorov, D. V.; Stepanov, V. D. 11 2014 Weighted Hardy-type inequalities on the cone of quasi-concave functions. Zbl 1291.39049Persson, L.-E.; Popova, O. V.; Stepanov, V. D. 5 2014 Weight boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 1311.47013Stepanov, V. D.; Shambilova, G. E. 5 2014 Some scales of equivalent conditions to characterize the Stieltjes inequality: the case \(q<p\). Zbl 1298.26052Gogatishvili, Amiran; Persson, Lars-Erik; Stepanov, Vladimir D.; Wall, Peter 3 2014 Reduction theorems for weighted integral inequalities on the cone of monotone functions. Zbl 1288.26018Gogatishvili, A.; Stepanov, V. D. 40 2013 On weighted Hardy inequalities in mixed norms. Zbl 1296.46029Prokhorov, D. V.; Stepanov, V. D. 21 2013 Reduction theorems for operators on the cones of monotone functions. Zbl 1326.47063Gogatishvili, Amiran; Stepanov, Vladimir D. 16 2013 Weighted estimates for a class of sublinear operators. Zbl 1310.47066Prokhorov, D. V.; Stepanov, V. D. 12 2013 Integral operators on cones of monotone functions. Zbl 1281.26014Gogatishvili, A.; Stepanov, V. D. 5 2012 Integral operators on cones of monotone functions. Zbl 1263.47057Gogatishvili, A.; Stepanov, V. D. 4 2012 On scales of equivalent conditions characterizing weighted Stieltjes inequality. Zbl 1261.42005Gogatishvili, A.; Persson, L.-E.; Stepanov, V. D.; Wall, P. 3 2012 On a supremum operator. Zbl 1260.26020Stepanov, Vladimir D. 3 2012 Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. Zbl 1237.44005Stepanov, Vladimir D.; Tikhonov, Sergey Yu. 6 2011 Two-weight inequalities for the Hilbert transform of monotone functions. Zbl 1253.26034Stepanov, V. D.; Tikhonov, S. Yu. 6 2011 On supremum operators. Zbl 1236.47008Prokhorov, D. V.; Stepanov, V. D. 3 2011 Kernel operators with variable intervals of integration in Lebesgue spaces and applications. Zbl 1190.26012Stepanov, Vladimir D.; Ushakova, Elena P. 28 2010 On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces. Zbl 1193.26013Stepanov, V. D.; Ushakova, E. P. 11 2010 Two-sided Hardy-type inequalities for monotone functions. Zbl 1217.26034Persson, Lars-Erik; Popova, Olga V.; Stepanov, Vladimir D. 4 2010 Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces. Zbl 1184.26013Stepanov, Vladimir D.; Ushakova, Elena P. 8 2009 Two-sided Hardy-type inequalities for monotone functions. Zbl 1196.26033Stepanov, V. D.; Persson, L. E.; Popova, O. V. 1 2009 On the geometric mean operator with variable limits of integration. Zbl 1233.42001Stepanov, V. D.; Ushakova, E. P. 12 2008 Hardy inequality with three measures on monotone functions. Zbl 1155.26015Johansson, Maria; Stepanov, Vladimir D.; Ushakova, Elena P. 6 2008 An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives. Zbl 1145.33003Stepanov, Vladimir D. 2 2008 Weight estimates for norms of operators with two variable limits of integration. Zbl 1230.47061Stepanov, V. D.; Ushakova, E. P. 1 2008 Some scales of equivalent weight characterizations of Hardy’s inequality: the case \(q < p\). Zbl 1122.26016Persson, Lars-Erik; Stepanov, Vladimir; Wall, Peter 11 2007 Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator. Zbl 1249.47037Lomakina, E. N.; Stepanov, V. D. 15 2006 Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions. Zbl 1093.26023Persson, L.-E.; Stepanov, V. D.; Ushakova, E. P. 10 2006 An extremal property of Chebyshev polynomials. Zbl 1125.41306Stepanov, V. D. 2 2005 On integral operators with monotone kernels. Zbl 1152.45309Persson, L. E.; Stepanov, V. D.; Ushakova, E. P. 1 2005 Weighted estimates for the integral operators with monotone kernel on a half-axis. Zbl 1084.45005Stepanov, V. D.; Ushakova, E. P. 5 2004 Weighted estimates for the Riemann-Liouville operators and applications. Zbl 1081.26004Prokhorov, D. V.; Stepanov, V. D. 21 2003 Hardy operator with variable limits on monotone functions. Zbl 1063.26020Stepanov, Vladimir D.; Ushakova, Elena P. 12 2003 The method of fictitious domains in the Signorini problem. Zbl 1071.35057Stepanov, V. D.; Khludnev, A. M. 2 2003 The fictitious domain method as applied to the Signorini problem. Zbl 1161.35028Stepanov, V. D.; Khludnev, A. M. 1 2003 Weighted integral inequalities with the geometric mean operator. Zbl 1024.26008Persson, Lars-Erik; Stepanov, Vladimir D. 31 2002 On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis. Zbl 1053.46021Prokhorov, D. V.; Stepanov, V. D. 3 2002 On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform. Zbl 1020.26010Nassyrova, Maria; Persson, Lars-Erik; Stepanov, Vladimir 3 2002 On Riemann-Liouville operators. Zbl 1146.47305Prokhorov, D. V.; Stepanov, V. D. 2 2002 On embeddings between classical Lorentz spaces. Zbl 0996.46013Carro, M.; Pick, L.; Soria, J.; Stepanov, V. D. 71 2001 On integral operators with variable limits of integration. Zbl 1007.46036Stepanov, V. D.; Ushakova, E. P. 20 2001 On weighted multidimensional embeddings for monotone functions. Zbl 1075.46507Barza, Sorina; Persson, Lars-Erik; Stepanov, Vladimir D. 3 2001 Weighted integral inequalities with a geometric mean. Zbl 1044.26014Persson, L.-E.; Stepanov, V. D. 1 2001 On asymptotic behaviour of the approximation numbers and estimates of Schatten-von Neumann norms of the Hardy-type integral operators. Zbl 0998.47033Lomakina, Elena N.; Stepanov, Vladimir D. 13 2000 On the lower bounds for Schatten-von Neumann norms of certain Volterra integral operators. Zbl 0991.47039Stepanov, Vladimir D. 10 2000 On maximal overdetermined Hardy’s inequality of second order on a finite interval. Zbl 0936.26010Nasyrova, Maria; Stepanov, Vladimir 3 1999 On the Hardy-type integral operators in Banach function spaces. Zbl 0923.46029Lomakina, Elena; Stepanov, Vladimir 19 1998 Operators of the Hardy-type in Banach function spaces on the semiaxis. Zbl 0958.47022Lomakina, E. N.; Stepanov, V. D. 2 1998 On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints. Zbl 0894.26007Nasyrova, Masha; Stepanov, Vladimir 5 1997 The weighted Hardy inequality: New proofs and the case \(p=1\). Zbl 0856.26012Sinnamon, Gord; Stepanov, Vladimir D. 75 1996 On the principle of duality in Lorentz spaces. Zbl 0874.47011Gol’dman, M. L.; Heinig, H. P.; Stepanov, V. D. 44 1996 On the compactness and approximation numbers of Hardy-type integral operators in Lorentz spaces. Zbl 0853.42013Lomakina, Elena; Stepanov, Vladimir 9 1996 On the singular numbers of certain Volterra integral operators. Zbl 0840.45013Edmunds, D. E.; Stepanov, V. D. 10 1995 On the principle of duality in Lorentz spaces. Zbl 0889.46031Gol’dman, M. L.; Stepanov, V. D.; Heinig, H. P. 2 1995 Weighted norm inequalities of Hardy type for a class of integral operators. Zbl 0837.26012Stepanov, Vladimir D. 37 1994 Weighted norm inequalities for integral operators and related topics. Zbl 0866.47025Stepanov, Vladimir D. 14 1994 On the discrete Hardy inequality. Zbl 0806.26011Braverman, Michael Sh.; Stepanov, Vladimir D. 11 1994 On the best constants in certain integral inequalities for monotone functions. Zbl 0814.26011Myasnikov, E. A.; Persson, L. E.; Stepanov, V. D. 7 1994 The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013Edmunds, D. E.; Stepanov, V. D. 7 1994 On the singular numbers of a class of integral operators. Zbl 0883.47017Stepanov, V. D. 2 1994 The weighted Hardy’s inequality for nonincreasing functions. Zbl 0786.26015Stepanov, Vladimir D. 49 1993 Integral operators on the cone of monotone functions. Zbl 0837.26011Stepanov, Vladimir D. 26 1993 Weighted Hardy inequalities for increasing functions. Zbl 0796.26008Heinig, H. P.; Stepanov, V. D. 18 1993 On weighted estimates for a class of integral operators. Zbl 0815.47064Stepanov, V. D. 3 1993 On the measure of noncompactness and approximation numbers of a class of Volterra integral operators. Zbl 0815.45006Stepanov, V. D.; Edmunds, D. E. 2 1993 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 331 Authors 63 Stepanov, Vladimir Dmitrievich 28 Gogatishvili, Amiran 26 Ushakova, Elena Pavlovna 25 Persson, Lars-Erik 21 Shambilova, Guldarya Ermakovna 19 Prokhorov, Dmitriĭ Vladimirovich 18 Jain, Pankaj 16 Guliyev, Vagif Sabir 16 Oĭnarov, Ryskul Oĭnarovich 13 Pick, Luboš 12 Vasil’eva, Anastasiya Andreevna 11 Kalybay, Aigerim Aisultankyzy 10 Cianchi, Andrea 10 Křepela, Martin 10 Soria, Javier 9 Gol’dman, Mikhail L’vovich 8 Nasibullin, Ramil Gaisa’evich 8 Neves, Júlio Severino 7 Burenkov, Viktor Ivanovich 7 Fiorenza, Alberto 7 Korotkov, Vitalii Borisovich 7 Mustafayev, Rza Ch. 7 Sinnamon, Gord 6 Boza, Santiago 6 Opic, Bohumír 5 Kamińska, Anna 5 Kerman, Ron 5 Kufner, Alois 5 Lomakina, Elena N. 5 Samko, Stefan Grigor’evich 4 Abylaeva, Akbota Muhamediyarovna 4 Alberico, Angela 4 Avkhadiev, Farit Gabidinovich 4 Bandaliev, Rovshan Alifaga ogly 4 Carro, María Jesús 4 Ciesielski, Maciej 4 Edmunds, David Eric 4 Haroske, Dorothee D. 4 Jain, Sandhya 4 Kanjilal, Saikat 4 Liu, Zhuangyi 4 Maligranda, Lech 4 Maz’ya, Vladimir Gilelevich 4 Meskhi, Alexander 4 Okpoti, Christopher Adjei 4 Saker, Samir H. 4 Singh, Monika 4 Temirkhanova, Ainur Maralkyzy 4 Vasil’eva, Anastasia Andreevna 4 Zhang, Qiong 3 Aliev, Rashid Avazaga 3 Baiarystanov, Askar O. 3 Bakhtigareeva, Él’za Gizarovna 3 Gupta, Babita 3 Han, Zhongjie 3 Kopaliani, Tengiz 3 Li, Hongliang 3 Liflyand, Elijah 3 Martín, Joaquim 3 Mihula, Zdeněk 3 Domingues de Moura, Susana 3 Nasyrova, Maria G. 3 Nekvinda, Aleš 3 Osman, Mahmoud M. 3 Popova, Olga V. 3 Rakotondratsimba, Yves 3 Ruzhansky, Michael V. 3 Saied, Ahmed I. 3 Slavíková, Lenka 3 Tikhonov, Sergey Yur’evich 2 Agarwal, Ravi P. 2 Aliev, Seymur S. 2 Amrahova, Aynur F. 2 Anderson, Douglas Robert 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 Grosse-Erdmann, Karl-Goswin 2 Guliev, G. V. 2 Johansson, Maria 2 Karaman, Turhan 2 Karatayeva, Danagul 2 Kopylov, Yaroslav Anatol’evich 2 Kuliev, Komil D. 2 Lazarev, Nyurgun Petrovich 2 Leśnik, Karol 2 Luor, Dahchin 2 Makarov, R. V. 2 Mamedov, Farman Imran 2 Manglik, Rohit 2 Mastyło, Mieczysław 2 Mizuta, Yoshihiro 2 Nguyen Minh Chuong 2 Nowak, Adam 2 O’Regan, Donal ...and 231 more Authors all top 5 Cited in 115 Serials 34 Doklady Mathematics 27 Siberian Mathematical Journal 25 Journal of Mathematical Analysis and Applications 16 Proceedings of the Steklov Institute of Mathematics 14 Journal of Inequalities and Applications 13 Mathematical Inequalities & Applications 12 Eurasian Mathematical Journal 11 Mathematical Notes 11 Mathematische Nachrichten 9 Proceedings of the American Mathematical Society 9 Russian Journal of Mathematical Physics 9 Positivity 8 Journal of Approximation Theory 8 Journal of Functional Analysis 6 Zeitschrift für Analysis und ihre Anwendungen 6 The Journal of Fourier Analysis and Applications 6 Journal of Mathematical Inequalities 5 Analysis Mathematica 5 Studia Mathematica 5 Journal of Mathematical Sciences (New York) 5 Revista Matemática Complutense 5 Lobachevskii Journal of Mathematics 5 Journal of Function Spaces and Applications 5 Journal of Function Spaces 4 Journal d’Analyse Mathématique 4 Collectanea Mathematica 4 Proceedings of the Edinburgh Mathematical Society. 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Third Series 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 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Trudy Instituta Matematiki ...and 15 more Serials all top 5 Cited in 32 Fields 191 Real functions (26-XX) 185 Functional analysis (46-XX) 154 Operator theory (47-XX) 92 Harmonic analysis on Euclidean spaces (42-XX) 35 Partial differential equations (35-XX) 24 Integral equations (45-XX) 19 Approximations and expansions (41-XX) 19 Integral transforms, operational calculus (44-XX) 14 Ordinary differential equations (34-XX) 9 Special functions (33-XX) 7 Mechanics of deformable solids (74-XX) 6 Potential theory (31-XX) 6 Difference and functional equations (39-XX) 5 Systems theory; control (93-XX) 4 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Abstract harmonic analysis (43-XX) 3 Manifolds and cell complexes (57-XX) 3 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year