Persons RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB     Ushakova, Elena Pavlovna Statistics in MathSciNet: 44 (44) in zbMATH: 33 (33) in Web of Science: 37 (37) in Scopus: 38 (38) Doctor of physico-mathematical sciences (2013) Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis) E-mail: https://www.mathnet.ru/eng/person27455 List of publications on Google Scholar https://mathscinet.ams.org/mathscinet/MRAuthorID/683325 https://orcid.org/0000-0002-3497-3762 List of publications: | scientific publications | by years | by types | by times cited | common list | Citations (Crossref Cited-By Service + Math-Net.Ru) 1. V. D. Stepanov, E. P. Ushakova, “On Integral Operators with Variable Limits of Integration”, Proc. Steklov Inst. Math., 232 (2001), 290–309       2. 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                 3. 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] 4. Math. Notes, 104:6 (2018), 823–832                 5. V. D. Stepanov, E. P. Ushakova, “On the Geometric Mean Operator with Variable Limits of Integration”, Proc. Steklov Inst. Math., 260 (2008), 254–278                 6. L.–E. Persson, V. D. Stepanov, E. P. Ushakova, “Equivalence of Hardy–type inequalities with general measure on the cones of non–negative respective non–increasing functions”, Proc. Amer. Math. Soc., 134:8 (2006), 2363–2372             14 [x] 7. M. G. Nasyrova, E. P. Ushakova, “Hardy–Steklov operators and Sobolev-type embedding inequalities”, Proc. Steklov Inst. Math., 293 (2016), 228–254                 8. 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] 9. 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] 10. 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             10 [x] 11. 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                   12. 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] 13. E. P. Ushakova, “Estimates for Schatten von Neumann norms of Hardy–Steklov operators”, J. Approx. Theory, 173 (2013), 158–175             8 [x] 14. L.–E. Persson, E. P. Ushakova, “Some multi–dimensional Hardy type integral inequalities”, J. Math. Inequal., 1:3 (2007), 301–319       8 [x] 15. 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             16. E. P. Ushakova, K. E. Ushakova, “Localisation property of Battle–Lemari{\e} wavelets sums”, J. Math. Anal. Appl., 461:1 (2018), 176–197           7 [x] 17. 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               18. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “On weighted Sobolev spaces on the real line”, Dokl. Math., 93:1 (2016), 78–81                   19. E. P. Ushakova, “On boundedness and compactness of a certain class of kernel operators”, J. Funct. Spaces Appl., 9:1 (2011), 67–107             7 [x] 20. Elena P. Ushakova, “Spline wavelet bases in function spaces with Muckenhoupt weights”, Rev. Mat. Complut., 33 (2020), 125-160             6 [x] 21. P. Jain, S. Kanjilal, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:3 (2018), 634–637                 22. M. G. Nasyrova, E. P. Ushakova, “Wavelet bases and entropy numbers of Hardy operator”, Anal. Math., 44:4 (2018), 543–576           6 [x] 23. E. P. Ushakova, “Alternative boundedness characteristics for the Hardy–Steklov operator”, Eurasian Math. J., 8:2 (2017), 74–96           5 [x] 24. E. P. Ushakova, “Spline Wavelet Decomposition in Weighted Function Spaces”, Proc. Steklov Inst. Math., 312 (2021), 301–324             25. 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                 26. 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             4 [x] 27. E. P. Ushakova, “The images of integration operators in weighted function spaces”, Siberian Mathematical Journal, 63:6 (2022), 1181-1207           28. M. Johansson, V. D. Stepanov, E. P. Ushakova, “Hardy inequality with three measures on monotone functions”, Math. Inequal. Appl., 11:3 (2008), 393–413             3 [x] 29. E. P. Ushakova, “Boundedness of the Hilbert transform in Besov spaces”, Anal. Math., 49:4 (2023), 1137–1174       2 [x] 30. 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         31. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:1 (2018), 373–376                   32. E. P. Ushakova, “Boundedness criteria for the Hardy–Steklov operator expressed in terms of a fairway function”, Dokl. Math., 91:2 (2015), 197–198                   33. E. P. Ushakova, “On compactness of Laplace and Stieltjes type transformations in Lebesgue spaces”, J. Operat. Theor., 69:2 (2013), 511–524             2 [x] 34. E. P. Ushakova, “Estimates for the singular values of Stieltjes type transforms”, Siberian Math. J., 52:1 (2011), 159–166               35. E. P. Ushakova, K. E. Ushakova, “Norm inequalities with fractional integrals”, St. Petersburg Math. J., 35:3 (2024), 571–595       36. Vladimir D. Stepanov, Elena P. Ushakova, “Weighted Hardy inequality with two-dimensional rectangular operator: the case $q<p$”, Math. Inequal. Appl., 26:1 (2023), 267–288       1 [x] 37. R. Sengupta, E. P. Ushakova, “Two–dimensional bilinear inequality for rectangular Hardy operator and non–factorizable weights”, Eurasian Math. J., 14:4 (2023), 47–62    ; 1 [x] 38. 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] 39. 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                   40. L.–E. Persson, V. D. Stepanov, E. P. Ushakova, “On integral operators with monotone kernels”, Dokl. Math., 72:1 (2005), 491–494           41. V. D. Stepanov, E. P. Ushakova, “Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator”, Math. Notes, 115:3 (2024), 392–406           42. E. P. Ushakova, “The study by splines of norm inequalities for Riemann–Liouville operators in weighted Besov spaces”, Journal of Mathematical Sciences, 280 (2024), 758–820     43. 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                 44. V. D. Stepanov, E. P. Ushakova, “Compactness of the two-dimensional rectangular Hardy operator”, Math. Inequal. Appl., 25:2 (2022), 535–549     45. 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, 22 , 6 pp. https://ceur-ws.org/Vol-2930/paper22.pdf   46. E. P. Ushakova, S. E. Zhukovskiy, “Spline Wavelets and Integration Operators”, 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, 31 , 6 pp. https://ceur-ws.org/Vol-2930/paper31.pdf   47. Vladimir D. Stepanov, Elena P. Ushakova, “Bilinear Hardy-type inequalities in weighted Lebesgue spaces”, Nonlinear Stud., 26:4 (2019), 939–953     48. E. P. Ushakova, “Upper estimates for the approximation numbers of the generalized Laplace transform”, Proc. Steklov Inst. Math., 283 (2013), 260–280             49. E. P. Ushakova, “On singular numbers of a generalized Stieltjes transformation”, Dokl. Math., 81:2 (2010), 214–215               50. “V. D. Stepanov, E. P. Ushakova”, “Weight estimates for norms of operators with two variable limits of integration”, Dokl. Math., 78:1 (2008), 541–543               51. L. Nikolova, L.–E. Persson, E. P. Ushakova, A. Wedestig, “Weighted Hardy and Polya–Knopp inequalities with variable limits”, Math. Inequal. Appl., 10:3 (2007), 547–557           52. V. D. Stepanov, E. P. Ushakova, “On integral operators with a variable domain of integration”, Dokl. Math., 68:3 (2003), 409–413           53. E. P. Ushakova, “Vesovye neravenstva dlya operatorov Rimana-Liuvillya na kusochno-monotonnykh funktsiyakh”, Mat. zametki YaGU, 7:2 (2000), 113–149   54. E. P. Ushakova, “Fractional Riemann-Liouville integrals in Besov type spaces”, Trudy Mat. Inst. Steklova, 331, 2025 (to appear)     55. V. D. Stepanov, E. P. Ushakova, “Multidimensional Discrete Hardy Inequalities”, Trudy Mat. Inst. Steklova, 331, 2025 (to appear)     56. E. G. Bakhtigareeva, O. V. Besov, V. I. Burenkov, E. I. Galakhov, T. E. Denisova, A. N. Karapetyants, G. Zh. Karshygina, A. G. Kusraev, G. G. Magaril-Il'yaev, A. B. Muravnik, K. Yu. Osipenko, V. M. Savchin, S. M. Sitnik, A. L. Skubachevskii, E. O. Sivkova, V. D. Stepanov, V. M. Tikhomirov, E. P. Ushakova, E. L. Shishkina, “Mikhail Lvovich Goldman (13.04.1945–05.07.2025)”, Vladikavkaz. Mat. Zh., 27:3 (2025), 143–144   Presentations in Math-Net.Ru 1. Сплайны в исследовании свойств операторов Римана-Лиувилля в весовых пространствах Бесова E. P. Ushakova Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics November 12, 2025 16:00    2. On one class of semi-orthogonal systems of localized spline wavelets and their applications to the study of properties of Riemann-Liouville operators E. P. Ushakova International scientific workshop OTHA Fall 2023 December 19, 2023 14:35    3. 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    4. Spline wavelets and Riemann–Liouville operators in Besov type spaces E. P. Ushakova Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov June 1, 2023 16:00    5. 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 6. Всплески типа сплайнов в приложении к изучению свойств операторов интегрирования E. P. Ushakova August 9, 2021 17:30 7. Всплески типа сплайнов Баттла-Лемари: построение, свойство локализации и применение к теоремам декомпозиции в весовых функциональных пространствах E. P. Ushakova Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics February 12, 2020 16:00    8. 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 9. 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 10. Характеристические свойства некоторых классов интегральных операторов E. P. Ushakova Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics March 27, 2013 16:00 Books in Math-Net.Ru D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Hardy–Steklov Integral Operators, Sovrem. Probl. Mat., 22, 2016, 186 с. http://mi.mathnet.ru/book1629 Organisations Computer Centre of Far Eastern Branch RAS, Khabarovsk V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow Steklov Mathematical Institute of Russian Academy of Sciences, Moscow Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences