Bernstein Numbers of Embeddings of Isotropic and Dominating Mixed Besov Spaces

Van Kien Nguyen

paper

Bernstein Numbers of Embeddings of Isotropic and Dominating Mixed Besov Spaces

arXiv:1411.7246

Abstract

The purpose of the present paper is to investigate the decay of Bernstein numbers of the embedding from $B_{p_{1}, q}^{t} ((0, 1)^{d})$ into the space $L_{p_{2}} ((0, 1)^{d})$ . The asymptotic behaviour of Bernstein numbers of the identity $i d : S_{p_{1}, p_{1}}^{t} B ((0, 1)^{d}) \to L_{p_{2}} ((0, 1)^{d})$ will be also considered.

31 pages, 1 figure