Full list of publications: |
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2021 |
1. |
E. P. Ushakova, “Spline wavelet decomposition in weighted function spaces”, Function spaces, approximation theory, and related problems of analysis, Collected papers. In commemoration of the 115th anniversary of Academician Sergei Mikhailovich Nikol'skii, Tr. Mat. Inst. Steklova, 312, Steklov Math. Inst., Moscow, 2021 (to appear) |
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2020 |
2. |
Elena P. Ushakova, “Spline wavelet bases in function spaces with Muckenhoupt weights”, Rev. Mat. Complut., 33 (2020), 125-160 |
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2019 |
3. |
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 (cited: 1) (cited: 1) |
4. |
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 |
5. |
Vladimir D. Stepanov, Elena P. Ushakova, “Bilinear Hardy-type inequalities in weighted Lebesgue spaces”, Nonlinear Stud., 26:4 (2019), 939–953 ; |
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2018 |
6. |
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 (cited: 1) (cited: 1) |
7. |
D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:1 (2018), 373–376 (cited: 1) (cited: 1) |
8. |
P. Jain, S. Kanjilal, V. D. Stepanov, E. P. Ushakova, Dokl. Math., 98:3 (2018), 634–637 (cited: 3) (cited: 2) |
9. |
Math. Notes, 104:6 (2018), 823–832 (cited: 7) (cited: 6) |
10. |
M. G. Nasyrova, E. P. Ushakova, “Wavelet bases and entropy numbers of Hardy operator”, Anal. Math., 44:4 (2018), 543–576 (cited: 1) (cited: 2) |
11. |
E. P. Ushakova, K. E. Ushakova, “Localisation property of Battle–Lemari{\e} wavelets sums”, J. Math. Anal. Appl., 461:1 (2018), 176–197 (cited: 1) (cited: 1) |
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2017 |
12. |
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 (cited: 2) (cited: 6) (cited: 6) |
13. |
E. P. Ushakova, “Alternative boundedness characteristics for the Hardy–Steklov operator”, Eurasian Math. J., 8:2 (2017), 74–96 (cited: 3) (cited: 6) (cited: 6) |
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2016 |
14. |
D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “On weighted Sobolev spaces on the real line”, Dokl. Math., 93:1 (2016), 78–81 (cited: 6) (cited: 5) |
15. |
M. G. Nasyrova, E. P. Ushakova, “Hardy–Steklov operators and Sobolev-type embedding inequalities”, Proc. Steklov Inst. Math., 293 (2016), 228–254 (cited: 9) (cited: 8) |
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2018 |
16. |
D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators”, Proc. Steklov Inst. Math., 300, suppl. 2 (2018), 1–112 (cited: 10) (cited: 9) |
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2015 |
17. |
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 (cited: 3) (cited: 9) (cited: 2) (cited: 9) (cited: 9) |
18. |
E. P. Ushakova, “Boundedness criteria for the Hardy–Steklov operator expressed in terms of a fairway function”, Dokl. Math., 91:2 (2015), 197–198 (cited: 2) (cited: 2) |
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2013 |
19. |
E. P. Ushakova, “Upper estimates for the approximation numbers of the generalized Laplace transform”, Proc. Steklov Inst. Math., 283 (2013), 260–280 |
20. |
E. P. Ushakova, “On compactness of Laplace and Stieltjes type transformations in Lebesgue spaces”, J. Operat. Theor., 69:2 (2013), 511–524 (cited: 1) |
21. |
E. P. Ushakova, “Estimates for Schatten von Neumann norms of Hardy–Steklov operators”, J. Approx. Theory, 173 (2013), 158–175 (cited: 4) (cited: 4) |
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2011 |
22. |
E. P. Ushakova, “Estimates for the singular values of Stieltjes type transforms”, Siberian Math. J., 52:1 (2011), 159–166 (cited: 2) (cited: 1) |
23. |
E. P. Ushakova, “On boundedness and compactness of a certain class of kernel operators”, J. Funct. Spaces Appl., 9:1 (2011), 67–107 (cited: 7) |
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2010 |
24. |
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 (cited: 33) (cited: 32) |
25. |
E. P. Ushakova, “On singular numbers of a generalized Stieltjes transformation”, Dokl. Math., 81:2 (2010), 214–215 (cited: 2) (cited: 1) |
26. |
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 (cited: 11) |
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2009 |
27. |
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 (cited: 9) (cited: 10) |
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2008 |
28. |
V. D. Stepanov, E. P. Ushakova, “On the Geometric Mean Operator with Variable Limits of Integration”, Proc. Steklov Inst. Math., 260 (2008), 254–278 (cited: 14) (cited: 13) |
29. |
“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 (cited: 1) (cited: 1) |
30. |
M. Johansson, V. D. Stepanov, E. P. Ushakova, “Hardy inequality with three measures on monotone functions”, Math. Inequal. Appl., 11:3 (2008), 393–413 (cited: 16) (cited: 16) |
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2007 |
31. |
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 |
32. |
L.–E. Persson, E. P. Ushakova, “Some multi–dimensional Hardy type integral inequalities”, J. Math. Inequal., 1:3 (2007), 301–319 |
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2006 |
33. |
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 (cited: 16) (cited: 18) |
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2005 |
34. |
L.–E. Persson, V. D. Stepanov, E. P. Ushakova, “On integral operators with monotone kernels”, Dokl. Math., 72:1 (2005), 491–494 (cited: 3) (cited: 3) |
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2004 |
35. |
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 (cited: 8) |
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2003 |
36. |
V. D. Stepanov, E. P. Ushakova, “Hardy operator with variable limits on monotone functions”, J. Funct. Spaces Appl., 1:1 (2003), 1–15 |
37. |
V. D. Stepanov, E. P. Ushakova, “On integral operators with a variable domain of integration”, Dokl. Math., 68:3 (2003), 409–413 (cited: 1) (cited: 1) |
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2001 |
38. |
V. D. Stepanov, E. P. Ushakova, “On Integral Operators with Variable Limits of Integration”, Proc. Steklov Inst. Math., 232 (2001), 290–309 |
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2000 |
39. |
E. P. Ushakova, “Vesovye neravenstva dlya operatorov Rimana-Liuvillya na kusochno-monotonnykh funktsiyakh”, Mat. zametki YaGU, 7:2 (2000), 113–149 |
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