On Kolmogorov widths of classes $B^r_{p, \theta}$ of periodic functions of many variables with low smoothness in the space $L_q$

Abstract

We study the Kolmogorov widths of Besov classes $B^r_{p, \theta}$ of periodic functions of many variables with low smoothness in the space $L_q, 1 < q < ∞$. We also investigate the behavior of widths of such classes with critical indices of smoothness.