Y. Malykhin

collaborators

2 papers

math.FA2026

Rigidity of sets of independent functions in symmetric spaces

Sergey V. Astashkin, Yu. V. Malykhin

We say that a symmetric function space $X$ has the $(I R)$ property whenever all sets of $N$ independent mean zero functions $f_{1}, \dots, f_{N} \in X$ , $∥ f_{k} ∥_{X} \geq 1$ , are poorly appr…

math.FA2025

Kolmogorov widths of the class $W_{1}^{1}$

Yuri Malykhin

We prove that $d_{n} (W_{1}^{1}, L_{q}) ≍ n^{- 1/2} lo g n$ , $2 < q < \infty$ . This completes the study of orders of decay of Kolmogorov widths for the classical case of the univariate Sobolev…

Rigidity of sets of independent functions in symmetric spaces

Kolmogorov widths of the class W11​

Kolmogorov widths of the class $W_{1}^{1}$