HARDY-TYPE INEQUALITIES ON THE WEIGHTED CONES OF QUASI-CONCAVE FUNCTIONS Article Persson L.-E., Shambilova G.E., Stepanov V.D. Banach Journal of Mathematical Analysis. Vol. 9. 2015. P. 21-34
WEIGHT BOUNDEDNESS OF A CLASS OF QUASILINEAR OPERATORS ON THE CONE OF MONOTONE FUNCTIONS Article Stepanov V.D., Shambilova G.E. Doklady Mathematics. Vol. 90. 2014. P. 569-572
ОЦЕНКИ ОДНОГО КЛАССА СУБЛИНЕЙНЫХ ИНТЕГРАЛЬНЫХ ОПЕРАТОРОВ Article Прохоров Д.В., Степанов В.Д. Doklady Akademii Nauk. Vol. 456. 2014. P. 645-649
WEIGHTED HARDY-TYPE INEQUALITIES ON THE CONE OF QUASI-CONCAVE FUNCTIONS Article Persson L.-E., Popova O.V., Stepanov V.D. Mathematical Inequalities and Applications. Element D.O.O.. Vol. 17. 2014. P. 879-898
SOME SCALES OF EQUIVALENT CONDITIONS TO CHARACTERIZE THE STIELTJES INEQUALITY: THE CASE Q < P Article Gogatishvili A., Persson L.-E., Stepanov V.D., Wall P. Mathematische Nachrichten. Wiley-VCH Verlag. Vol. 287. 2014. P. 242-253
О ВЕСОВОЙ ОГРАНИЧЕННОСТИ ОДНОГО КЛАССА КВАЗИЛИНЕЙНЫХ ОПЕРАТОРОВ НА КОНУСЕ МОНОТОННЫХ ФУНКЦИЙ Article Степанов В.Д., Шамбилова Г.Э. Doklady Akademii Nauk. Vol. 458. 2014. P. 268-271
ESTIMATES FOR A CLASS OF SUBLINEAR INTEGRAL OPERATORS Article Prokhorov D.V., Stepanov V.D. Doklady Mathematics. Vol. 89. 2014. P. 372-377
EMBEDDING OF WEIGHTED SOBOLEV SPACES ON THE REAL LINE Article Stepanov V.D. Материалы конференции International Conference "Spectral theory and differential operators", dedicated to the centenary of B.M. Levitan: Book of abstracts. МГУ; Математический институт им. В.А. Стеклова РАН. 2014. P. 34-34
REDUCTION THEOREMS FOR WEIGHTED INTEGRAL INEQUALITIES ON THE CONE OF MONOTONE FUNCTIONS Article Gogatishvili A., Stepanov V.D. Russian Mathematical Surveys. Vol. 68. 2013. P. 597-664
ON WEIGHTED HARDY INEQUALITIES IN MIXED NORMS Article Prokhorov D.V., Stepanov V.D. Proceedings of the Steklov Institute of Mathematics. Vol. 283. 2013. P. 149-164
REDUCTION THEOREMS FOR OPERATORS ON THE CONES OF MONOTONE FUNCTIONS Article Gogatishvili A., Stepanov V.D. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Vol. 405. 2013. P. 156-172
WEIGHTED ESTIMATES FOR A CLASS OF SUBLINEAR OPERATORS Article Prokhorov D.V., Stepanov V.D. Doklady Mathematics. Vol. 88. 2013. P. 721-723
ON A SUPREMUM OPERATOR Article Stepanov V.D. Spectral Theory, Function Spaces and Inequalities: New Techniques and Recent Trends. Springer Basel. 2012. P. 233-242
ON SCALES OF EQUIVALENT CONDITIONS CHARACTERIZING WEIGHTED STIELTJES INEQUALITY Article Gogatishvili A., Persson L.E., Stepanov V.D., Wall P. Doklady Mathematics. Vol. 86. 2012. P. 738-739
OPERATORS ON CONES OF MONOTONE FUNCTIONS Article Gogatishvili A., Stepanov V.D. Doklady Mathematics. Vol. 86. 2012. P. 562-565
INTEGRAL OPERATORS ON CONES OF MONOTONE FUNCTIONS Article Gogatishvili A., Stepanov V.D. Doklady Mathematics. Vol. 86. 2012. P. 650-653
TWO-WEIGHT INEQUALITIES FOR THE HILBERT TRANSFORM OF MONOTONE FUNCTIONS Article Stepanov V.D., Tikhonov S.Yu. Doklady Mathematics. Vol. 83. 2011. P. 241-242
ON SUPREMUM OPERATORS Article Prokhorov D.V., Stepanov V.D. Doklady Mathematics. Vol. 84. 2011. P. 457-458
TWO POWER-WEIGHT INEQUALITIES FOR THE HILBERT TRANSFORM ON THE CONES OF MONOTONE FUNCTIONS Article Stepanov V.D., Tikhonov S.Y. Complex Variables and Elliptic Equations. Vol. 56. 2011. P. 1039-1047
KERNEL OPERATORS WITH VARIABLE INTERVALS OF INTEGRATION IN LEBESGUE SPACES AND APPLICATIONS Article Stepanov V.D., Ushakova E.P. Mathematical Inequalities and Applications. Element D.O.O.. Vol. 13. 2010. P. 449-510
TWO-SIDED HARDY-TYPE INEQUALITIES FOR MONOTONE FUNCTIONS Article Persson L.-E., Popova O.V., Stepanov V.D. Complex Variables and Elliptic Equations. Vol. 55. 2010. P. 973-989
ON BOUNDEDNESS OF A CERTAIN CLASS OF HARDY–STEKLOV TYPE OPERATORS IN LEBESGUE SPACES Article Stepanov V.D., Ushakova E.P. Banach Journal of Mathematical Analysis. Vol. 4. 2010. P. 28-52
ALTERNATIVE CRITERIA FOR THE BOUNDEDNESS OF VOLTERRA INTEGRAL OPERATORS IN LEBESGUE SPACES Article Stepanov V.D., Ushakova E.P. Mathematical Inequalities and Applications. Element D.O.O.. Vol. 12. 2009. P. 873-889
WEIGHT ESTIMATES FOR NORMS OF OPERATORS WITH TWO VARIABLE LIMITS OF INTEGRATION Article Stepanov V.D., Ushakova E.P. Doklady Mathematics. Vol. 78. 2008. P. 541-543
HARDY INEQUALITY WITH THREE MEASURES ON MONOTONE FUNCTIONS Article Johansson M., Stepanov V.D., Ushakova E.P. Mathematical Inequalities and Applications. Element D.O.O.. Vol. 11. 2008. P. 393-413
ON THE GEOMETRIC MEAN OPERATOR WITH VARIABLE LIMITS OF INTEGRATION Article Stepanov V.D., Ushakova E.P. Proceedings of the Steklov Institute of Mathematics. Vol. 260. 2008. P. 254-278
AN EXTREMAL PROPERTY OF JACOBI POLYNOMIALS IN TWO-SIDED CHERNOFF-TYPE INEQUALITIES FOR HIGHER ORDER DERIVATIVES Article Stepanov V.D. Proceedings of the American Mathematical Society. Vol. 136. 2008. P. 1589-1597
SOME SCALES OF EQUIVALENT WEIGHT CHARACTERIZATIONS OF HARDY'S INEQUALITY: THE CASE Q < P Article Persson L.-E., Stepanov V., Wall P. Mathematical Inequalities and Applications. Element D.O.O.. Vol. 10. 2007. P. 267-279
EQUIVALENCE OF HARDY-TYPE INEQUALITIES WITH GENERAL MEASURES ON THE CONES OF NON-NEGATIVE RESPECTIVE NON-INCREASING FUNCTIONS Article Persson L.-E., Stepanov V.D., Ushakova E.P. Proceedings of the American Mathematical Society. Vol. 134. 2006. P. 2363-2372