A. Vasil'eva

activity

20122024

most citedAn embedding theorem for weighted Sobolev classes on a John domain: case of weights that are functions of a distance to a certain h-set

11 citations · 32 across the 15 of their papers we have counts for

collaborators

15 papers

math.FA2024

Kolmogorov widths of a Sobolev class with restrictions on the derivatives in different metrics

A. A. Vasil'eva

In this paper, we obtain order estimates for the Kolmogorov widths of periodic Sobolev classes with restictions on derivatives of order $r_{j}$ with respect to $j$ th variable in metr…

math.FA2023

Kolmogorov widths of an intersection of a family of balls in a mixed norm

A. A. Vasil'eva

In this paper, order estimates for the Kolmogorov $n$ -widths of an intersection of a family of balls in a mixed norm in the space $l_{q, σ}^{m, k}$ with $2 \leq q, σ < \infty$ , $n\le…

math.FA2022★ 5 cited

Estimates for the Kolmogorov widths of weighted Sobolev classes with conditions on the $0$ th and the greatest derivatives

A. A. Vasil'eva

In this article, we obtain the order estimates for the Kolmogorov widths of sets with conditions on the norm in the weighted Sobolev space $W_{p_{1}}^{r}$ and in the weighted space $L_…

math.FA2021

Kolmogorov widths of a finite-dimensional balls intersection

A. A. Vasil'eva

Order estimates for the Kolmogorov widths of a finite-dimensional balls intersection are obtained.

math.FA2020★ 1 cited

Kolmogorov widths of the intersection of two finite-dimensional balls

A. A. Vasil'eva

In this paper we obtain order estimates for the Kolmogorov widths of the set $B_{p_{0}}^{m} \cap ν B_{p_{1}}^{m}$ in $l_{q}^{m}$ ; here $0 \leq n \leq m /2$ , $p_{0} > p_{1}$ , $q < \infty$ .

math.FA2020★ 1 cited

Linear widths of weighted Sobolev classes with conditions on the highest order and zero derivatives

A. A. Vasil'eva

In this paper order estimates for the linear widths of some function classes are obtained; these classes are defined by restrictions on the weighted $L_{p_{1}}$ -norm of the r-th deri…

Kolmogorov widths of a Sobolev class with restrictions on the derivatives in different metrics

Kolmogorov widths of an intersection of a family of balls in a mixed norm

Estimates for the Kolmogorov widths of weighted Sobolev classes with conditions on the 0th and the greatest derivatives

Kolmogorov widths of a finite-dimensional balls intersection

Kolmogorov widths of the intersection of two finite-dimensional balls

Linear widths of weighted Sobolev classes with conditions on the highest order and zero derivatives

Estimates for the Kolmogorov widths of weighted Sobolev classes with conditions on the $0$ th and the greatest derivatives