Bernstein Numbers of Embeddings of Isotropic and Dominating Mixed Besov Spaces

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 $id:S_{p_1,p_1}^{t}B((0,1{)}^d)\to L_{p_2}((0,1{)}^d)$ will be also considered.