Kolmogorov Numbers of Embeddings of Besov Spaces of Dominating Mixed Smoothness into $L_{\infty}$

Abstract

In this paper we shall give two-sided sharp estimates of Kolmogorov numbers of embeddings of the Besov spaces with dominating mixed smoothness $S^t_{p,q}B((0,1)^d)$ into $ L_{\infty}((0,1)^d)$.