| List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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| 1. |
A. A. Vasil'eva, “Widths and entropy numbers of embeddings of Sobolev classes on a Hölder domain”, Mat. Sb. (to appear)  |
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 2026 |
| 2. |
A. A. Vasil'eva, “Kolmogorov widths of anisotropic Sobolev classes”, Analysis Mathematica, 52:1 (2026), 375–402  |
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| 2025 |
| 3. |
A. A. Vasil'eva, “Kolmogorov widths of an intersection of anisotropic finite-dimensional balls in the case of $2\le q_j\lt \infty$”, Math. Notes, 117:6 (2025), 1090–1093    |
| 4. |
A. A. Vasil'eva, “Kolmogorov widths of an intersection of anisotropic finite-dimensional balls in $l^k_q$ for $1\le q \le 2$”, Math. Notes, 118:3 (2025), 472–487 |
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| 2024 |
| 5. |
A. A. Vasil'eva, “Kolmogorov widths of an intersection of a finite family of Sobolev classes”, Izv. Math., 88:1 (2024), 18–42   |
| 6. |
A. A. Vasil'eva, “Estimates for the Kolmogorov widths of an intersection of two balls in a mixed norm”, Sb. Math., 215:1 (2024), 74–89 |
| 7. |
A. A. Vasil'eva, “Kolmogorov widths of a Sobolev class with constraints on derivatives in different metrics”, Sb. Math., 215:11 (2024), 1468–1498 |
| 8. |
A. A. Vasil’eva, “Kolmogorov widths of an intersection of a family of balls in a mixed norm”, Journal of Approximation Theory, 301 (2024), 106046, 38 pp.
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7
[x]
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| 9. |
A. A. Vasil'eva, “Kolmogorov widths of anisotropic function classes and finite-dimensional balls”, Eurasian Math. J., 15:3 (2024), 88–93 ;
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1
[x]
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| 10. |
A. A. Vasil'eva, A. V. Gorshkov, M. P. Zapletin, L. V. Lokutsievskiy, G. G. Magaril-Il'yaev, K. Yu. Osipenko, K. S. Ryutin, A. V. Fursikov, “Main recent research results of the staff of the Chair of General Problems of Control”, Moscow University Mathematics Bulletin, 79:6 (2024), 351–359  |
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| 2023 |
| 11. |
A. A. Vasil'eva, “Kolmogorov Widths of the Intersection of Two Finite-Dimensional Balls in a Mixed Norm”, Math. Notes, 113:4 (2023), 584–586 |
| 12. |
A. A. Vasil'eva, “Kolmogorov widths of the intersection of two weighted Sobolev classes on an interval with the same smoothness”, Trudy Inst. Mat. i Mekh. UrO RAN, 29, no. 4, 2023, 55–63 |
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| 2022 |
| 13. |
A. A. Vasil'eva, “Bounds for the Kolmogorov Widths of the Sobolev Weighted Classes with Conditions on the Zero and Highest Derivatives”, Russian Journal of Mathematical Physics, 29:2 (2022), 249‐‐279
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4
[x]
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| 14. |
A. A. Vasil'eva, “Kolmogorov widths of intersections of finite‐dimensional balls”, Journal of Complexity, 72 (2022), 101649, 15 pp.
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14
[x]
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| 15. |
A. A. Vasil'eva, “Kolmogorov widths of the intersection of a finite family of Sobolev classes”, Eurasian Math. J., 13:4 (2022), 88–93
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1
[x]
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| 2021 |
| 16. |
A. A. Vasil'eva, “Kolmogorov widths of intersections of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives”, Izv. Math., 85:1 (2021), 1–23 |
| 17. |
A. A. Vasil'eva, “Kolmogorov widths of the intersection of two finite-dimensional balls”, Russian Math. (Iz. VUZ), 65:7 (2021), 17–23 |
| 18. |
A. A. Vasileva, “Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order $r$ and zero”, Journal of Approximation Theory, 269 (2021), 105602, 34 pp.
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4
[x]
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| 2020 |
| 19. |
A. A. Vasil'eva, “Kolmogorov Widths of Weighted Sobolev Classes on an Interval with Conditions on the Zeroth and First Derivatives”, Math. Notes, 107:3 (2020), 522–524 |
| 20. |
A. A. Vasileva, “Linear Widths of Weighted Sobolev Classes with Conditions on the Highest Order and Zero Derivatives”, Russian Journal of Mathematical Physics, 27:4 (2020), 537–552 |
| 21. |
A. A. Vasil'eva, “Order estimates for the Kolmogorov widths of weighted Sobolev classes with restrictions on derivatives”, Eurasian Math. J., 11:4 (2020), 95–100
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1
[x]
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| 22. |
A. R. Alimov, A. A. Vasil'eva, S. V. Konyagin, A. S. Kochurov, A. I. Kozko, T. P. Lukashenko, K. S. Ryutin, V. M. Tikhomirov, A. V. Fursikov, V. N. Chubarikov, “Igor Germanovich Tsarkov (to 60th anniversary)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4, 70–71 |
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| 2019 |
| 23. |
A. A. Vasil'eva, “Kolmogorov widths of weighted Sobolev classes with “small” singularity sets”, Eurasian Math. J., 10:1 (2019), 89–92
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1
[x]
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| 24. |
A. A. Vasil'eva, “Kolmogorov widths of Sobolev classes on a closed interval with constraints on the variation”, Trudy Inst. Mat. i Mekh. UrO RAN, 25, no. 2, 2019, 48–66 |
| 25. |
A. A. Vasileva, “Diameters of Sobolev weight classes with a “small” set of singularities for weights”, Russian Journal of Mathematical Physics, 26:4 (2019), 517–543 |
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| 2018 |
| 26. |
A. A. Vasil'eva, “Entropy Numbers of Embeddings of Function Spaces on Sets with Tree-Like Structure: Some Generalized Limiting Cases”, Russ. J. Math. Phys., 25:2 (2018), 248–270 |
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| 2020 |
| 27. |
A. A. Vasil'eva, “Criterion for the existence of a $1$-Lipschitz selection from the metric projection onto the set of continuous selections from a multivalued mapping”, J. Math. Sci., 250:3 (2020), 454–462 |
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| 2017 |
| 28. |
A. A. Vasil'eva, “Entropy numbers of embedding operators of function spaces on sets with tree-like structure”, Izv. Math., 81:6 (2017), 1095–1142 |
| 29. |
A. A. Vasil'eva, “Widths of weighted Sobolev classes with constraints $f(a)=\dots=f^{(k-1)}(a)=f^{(k)}(b)=\dots=f^{(r-1)}(b)=0$ and the spectra of nonlinear differential equations”, Russ. J. Math. Phys., 24:3 (2017), 376–398 |
| 30. |
A. A. Vasil'eva, “Estimates for the Kolmogorov widths of weighted Sobolev classes on a domain with cusp: case of weights that are functions of the distance from the boundary”, Eurasian Math. J., 8:4 (2017), 102–106
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1
[x]
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| 2016 |
| 31. |
Math. Notes, 99:2 (2016), 243–252 |
| 32. |
A. A. Vasil'eva, “Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: Some limiting cases”, J. Complexity, 36 (2016), 74–105
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1
[x]
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| 33. |
A. A. Vasil'eva, “Estimates for the widths of discrete function classes generated by a two-weight summation operator”, Proc. Steklov Inst. Math., 294 (2016), 291–307 |
| 34. |
A. A. Vasil'eva, “Embedding theorems for a weighted Sobolev class in the space $L_{q,v}$ with weights having a singularity at a point: Case $v\notin L_q$”, Russ. J. Math. Phys., 23:3 (2016), 392–424
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1
[x]
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| 2015 |
| 35. |
A. A. Vasil'eva, “Some sufficient conditions for embedding a weighted Sobolev class on a John domain”, Siberian Math. J., 56:1 (2015), 54–67 |
| 36. |
A. A. Vasil'eva, “Widths of function classes on sets with tree-like structure”, J. Approx. Theory, 192 (2015), 19–59
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12
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| 37. |
A. A. Vasil'eva, “Widths of weighted Sobolev classes with weights that are functions of the distance to some h-set: some limit cases”, Russ. J. Math. Phys., 22:1 (2015), 127–140
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6
[x]
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| 38. |
A. A. Vasil'eva, “Widths of Sobolev weight classes on a domain with cusp”, Sb. Math., 206:10 (2015), 1375–1409 |
| 39. |
A. A. Vasil'eva, “Estimates for norms of two-weighted summation operators on a tree under some restrictions on weights”, Math. Nachr., 288:10 (2015), 1179–1202
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4
[x]
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| 40. |
A. A. Vasil'eva, “Entropy Numbers of Embedding Operators for Weighted Sobolev Spaces”, Math. Notes, 98:6 (2015), 982–985 |
| 41. |
A. A. Vasil'eva, “Embeddings and widths of weighted Sobolev classes”, Eurasian Math. J., 6:3 (2015), 93–100 |
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| 2014 |
| 42. |
A. A. Vasil'eva, “Widths of weighted Sobolev classes on a John domain: strong singularity at a point”, Rev. Mat. Complut., 27:1 (2014), 167–212
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11
[x]
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| 43. |
A. A. Vasil'eva, “Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some $h$-set”, Russ. J. Math. Phys., 21:1 (2014), 112–122
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11
[x]
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| 44. |
A. A. Vasil'eva, “Embeddings of weighted Sobolev classes on a John domain”, Eurasian Math. J., 5:3 (2014), 129–134 |
| 45. |
A. A. Vasil'eva, “Widths of weighted Sobolev classes whose weights are functions of the distance to an $h$-set”, Dokl. Math., 90:3 (2014), 685–687 |
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| 2013 |
| 46. |
A. A. Vasil'eva, “Kolmogorov and linear widths of the weighted Besov classes with singularity at the origin”, J. Approx. Theory, 167 (2013), 1–41
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32
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| 47. |
A. A. Vasil'eva, “Widths of weighted Sobolev classes on a John domain”, Proc. Steklov Inst. Math., 280 (2013), 91–119 |
| 48. |
A. A. Vasil'eva, “Embedding theorem for weighted Sobolev classes on a John domain with weights that are functions of the distance to some $h$-set”, Russ. J. Math. Phys., 20:3 (2013), 360–373
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11
[x]
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| 49. |
A. A. Vasilyeva, “Kolmogorov widths and approximation numbers of Sobolev classes with singular weights”, St. Petersburg Math. J., 24:1 (2013), 1–27 |
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| 2011 |
| 50. |
A. A. Vasil'eva, “Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights”, Russ. J. Math. Phys., 18:3 (2011), 353–385 |
| 51. |
A. A. Vasil'eva, “Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights. II”, Russ. J. Math. Phys., 18:4 (2011), 465–504
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3
[x]
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| 2010 |
| 52. |
A. A. Vasil'eva, “Estimates for the widths of weighted Sobolev classes”, Sb. Math., 201:7 (2010), 947–984 |
| 53. |
A. A. Vasil'eva, “Kolmogorov widths of weighted Sobolev classes on a cube”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 100–116 |
| 54. |
A. A. Vasil'eva, “Widths of weighted Sobolev classes on a closed interval and the spectra of nonlinear differential equations”, Russ. J. Math. Phys., 17:3 (2010), 363–393
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1
[x]
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| 2009 |
| 55. |
A. A. Vasil'eva, “Criterion for the existence of a continuous embedding of a weighted Sobolev class on a closed interval and on a semiaxis”, Russ. J. Math. Phys., 16:4 (2009), 543–562
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3
[x]
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| 2008 |
| 56. |
A. A. Vasil'eva, “Kolmogorov Widths of Weighted Sobolev Classes on Closed Intervals”, Math. Notes, 84:5 (2008), 631–635 |
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| 2007 |
| 57. |
A. A. Vasil'eva, “Multivalent Maps with Second-Order Modulus of Continuity”, Math. Notes, 82:5 (2007), 708–712 |
| 58. |
A. A. Vasil'eva, “An Existence Criterion for a Smooth Function under Constraints”, Math. Notes, 82:3 (2007), 295–308 |
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| 2004 |
| 59. |
A. A. Vasil'eva, “Closed spans in vector-valued function spaces and their approximative properties”, Izv. Math., 68:4 (2004), 709–747 |
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| 2003 |
| 60. |
A. A. Vasil'eva, “Closed Spans in $C(T)$ and $L_\varphi (T)$ and Their Approximative Properties”, Math. Notes, 73:1 (2003), 125–128 |
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