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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)

   2025
1. E. P. Ushakova, “Fractional Riemann-Liouville integrals in Besov type spaces”, Trudy Mat. Inst. Steklova, 331, 2025 (to appear)  mathnet  crossref
2. V. D. Stepanov, E. P. Ushakova, “Multidimensional Discrete Hardy Inequalities”, Trudy Mat. Inst. Steklova, 331, 2025 (to appear)  mathnet  crossref
3. 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  mathnet

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

   2023
6. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2024
7. E. P. Ushakova, K. E. Ushakova, “Norm inequalities with fractional integrals”, St. Petersburg Math. J., 35:3 (2024), 571–595  mathnet  crossref  isi

   2023
8. 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  mathnet  crossref  mathscinet 1
9. E. P. Ushakova, “Boundedness of the Hilbert transform in Besov spaces”, Anal. Math., 49:4 (2023), 1137–1174  mathnet  crossref  mathscinet 2
10. 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  mathnet  crossref; 1

   2022
11. V. D. Stepanov, E. P. Ushakova, “Compactness of the two-dimensional rectangular Hardy operator”, Math. Inequal. Appl., 25:2 (2022), 535–549  crossref  mathscinet
12. 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  mathnet  crossref  crossref  elib
13. E. P. Ushakova, “The images of integration operators in weighted function spaces”, Siberian Mathematical Journal, 63:6 (2022), 1181-1207  mathnet  crossref  crossref  crossref  mathscinet

   2021
14. E. P. Ushakova, “Spline Wavelet Decomposition in Weighted Function Spaces”, Proc. Steklov Inst. Math., 312 (2021), 301–324  mathnet  crossref  crossref  isi  elib  scopus
15. 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  crossref  mathscinet  scopus 1
16. 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  scopus
17. 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  scopus

   2020
18. Elena P. Ushakova, “Spline wavelet bases in function spaces with Muckenhoupt weights”, Rev. Mat. Complut., 33 (2020), 125-160  mathnet  crossref  mathscinet  zmath  isi  scopus 6

   2019
19. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
20. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
21. Vladimir D. Stepanov, Elena P. Ushakova, “Bilinear Hardy-type inequalities in weighted Lebesgue spaces”, Nonlinear Stud., 26:4 (2019), 939–953  mathnet  mathscinet

   2018
22. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
23. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:1 (2018), 373–376  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
24. P. Jain, S. Kanjilal, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:3 (2018), 634–637  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
25. Math. Notes, 104:6 (2018), 823–832  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
26. M. G. Nasyrova, E. P. Ushakova, “Wavelet bases and entropy numbers of Hardy operator”, Anal. Math., 44:4 (2018), 543–576  crossref  mathscinet  zmath  isi  scopus 6
27. E. P. Ushakova, K. E. Ushakova, “Localisation property of Battle–Lemari{\e} wavelets sums”, J. Math. Anal. Appl., 461:1 (2018), 176–197  crossref  mathscinet  zmath  isi  scopus 7

   2017
28. 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  mathnet  crossref  mathscinet  isi  elib  scopus 10
29. E. P. Ushakova, “Alternative boundedness characteristics for the Hardy–Steklov operator”, Eurasian Math. J., 8:2 (2017), 74–96  mathnet  mathscinet  isi  elib  scopus 5

   2018
30. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
31. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib

   2016
32. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “On weighted Sobolev spaces on the real line”, Dokl. Math., 93:1 (2016), 78–81  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
33. M. G. Nasyrova, E. P. Ushakova, “Hardy–Steklov operators and Sobolev-type embedding inequalities”, Proc. Steklov Inst. Math., 293 (2016), 228–254  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2015
34. 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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus  scopus 9
35. E. P. Ushakova, “Boundedness criteria for the Hardy–Steklov operator expressed in terms of a fairway function”, Dokl. Math., 91:2 (2015), 197–198  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2013
36. E. P. Ushakova, “Upper estimates for the approximation numbers of the generalized Laplace transform”, Proc. Steklov Inst. Math., 283 (2013), 260–280  mathnet  crossref  crossref  mathscinet  isi  elib
37. E. P. Ushakova, “On compactness of Laplace and Stieltjes type transformations in Lebesgue spaces”, J. Operat. Theor., 69:2 (2013), 511–524  crossref  mathscinet  zmath  isi  elib  scopus 2
38. E. P. Ushakova, “Estimates for Schatten von Neumann norms of Hardy–Steklov operators”, J. Approx. Theory, 173 (2013), 158–175  crossref  mathscinet  zmath  isi  elib  scopus 8

   2011
39. E. P. Ushakova, “Estimates for the singular values of Stieltjes type transforms”, Siberian Math. J., 52:1 (2011), 159–166  mathnet  crossref  mathscinet  isi  elib  elib  scopus
40. E. P. Ushakova, “On boundedness and compactness of a certain class of kernel operators”, J. Funct. Spaces Appl., 9:1 (2011), 67–107  crossref  mathscinet  zmath  isi  elib  scopus 7

   2010
41. 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  crossref  mathscinet  zmath  isi  elib  scopus 10
42. E. P. Ushakova, “On singular numbers of a generalized Stieltjes transformation”, Dokl. Math., 81:2 (2010), 214–215  crossref  mathscinet  zmath  isi  elib  elib  scopus
43. 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  crossref  mathscinet  zmath  isi  elib  scopus 11

   2009
44. 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  crossref  mathscinet  zmath  isi  elib  scopus 4

   2008
45. V. D. Stepanov, E. P. Ushakova, “On the Geometric Mean Operator with Variable Limits of Integration”, Proc. Steklov Inst. Math., 260 (2008), 254–278  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
46. “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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
47. M. Johansson, V. D. Stepanov, E. P. Ushakova, “Hardy inequality with three measures on monotone functions”, Math. Inequal. Appl., 11:3 (2008), 393–413  crossref  mathscinet  zmath  isi  elib  scopus 3

   2007
48. 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  crossref  mathscinet  zmath  isi  scopus
49. L.–E. Persson, E. P. Ushakova, “Some multi–dimensional Hardy type integral inequalities”, J. Math. Inequal., 1:3 (2007), 301–319  crossref  mathscinet  zmath 8

   2006
50. 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  crossref  mathscinet  zmath  isi  elib  scopus 14

   2005
51. L.–E. Persson, V. D. Stepanov, E. P. Ushakova, “On integral operators with monotone kernels”, Dokl. Math., 72:1 (2005), 491–494  mathnet  mathscinet  zmath  isi  scopus

   2004
52. 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  mathnet  crossref  mathscinet  zmath  isi  elib

   2003
53. V. D. Stepanov, E. P. Ushakova, “Hardy operator with variable limits on monotone functions”, J. Funct. Spaces Appl., 1:1 (2003), 1–15  crossref  mathscinet  zmath 16
54. V. D. Stepanov, E. P. Ushakova, “On integral operators with a variable domain of integration”, Dokl. Math., 68:3 (2003), 409–413  mathnet  mathscinet  isi  elib  scopus

   2001
55. V. D. Stepanov, E. P. Ushakova, “On Integral Operators with Variable Limits of Integration”, Proc. Steklov Inst. Math., 232 (2001), 290–309  mathnet  mathscinet  zmath

   2000
56. E. P. Ushakova, “Vesovye neravenstva dlya operatorov Rimana-Liuvillya na kusochno-monotonnykh funktsiyakh”, Mat. zametki YaGU, 7:2 (2000), 113–149  zmath

Presentations in Math-Net.Ru
1. Ñïëàéíû â èññëåäîâàíèè ñâîéñòâ îïåðàòîðîâ Ðèìàíà-Ëèóâèëëÿ â âåñîâûõ ïðîñòðàíñòâàõ Áåñîâà
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. Î ïðÿìîóãîëüíîì îïåðàòîðå Õàðäè â âåñîâûõ ïðîñòðàíñòâàõ Ëåáåãà
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. Î ñèëüíîé è ñëàáîé àññîöèèðîâàííîñòè íåêîòîðûõ ôóíêöèîíàëüíûõ êëàññîâ
V. D. Stepanov, E. P. Ushakova
Seminar on Theory of Functions of Real Variables
December 2, 2022 18:30
6. Âñïëåñêè òèïà ñïëàéíîâ â ïðèëîæåíèè ê èçó÷åíèþ ñâîéñòâ îïåðàòîðîâ èíòåãðèðîâàíèÿ
E. P. Ushakova

August 9, 2021 17:30
7. Âñïëåñêè òèïà ñïëàéíîâ Áàòòëà-Ëåìàðè: ïîñòðîåíèå, ñâîéñòâî ëîêàëèçàöèè è ïðèìåíåíèå ê òåîðåìàì äåêîìïîçèöèè â âåñîâûõ ôóíêöèîíàëüíûõ ïðîñòðàíñòâàõ
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. Î âåñîâûõ ïðîñòðàíñòâàõ Ñîáîëåâà íà äåéñòâèòåëüíîé îñè
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. Î âåñîâûõ ïðîñòðàíñòâàõ Ñîáîëåâà íà ïîëóîñè
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. Õàðàêòåðèñòè÷åñêèå ñâîéñòâà íåêîòîðûõ êëàññîâ èíòåãðàëüíûõ îïåðàòîðîâ
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
  1. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Hardy–Steklov Integral Operators, Sovrem. Probl. Mat., 22, 2016, 186 ñ.
    http://mi.mathnet.ru/book1629

Organisations