Entropy numbers of embeddings of Besov spaces in generalized Lipschitz spaces

We establish two-sided estimates for entropy numbers of embeddings between certain weighted Banach sequence spaces with mixed norms. These estimates a re "almost" sharp, in the sense that upper and lower bounds differ only by logarithmic terms and improve previous results by D. E. Edmunds and D. Haro ske (1999, Dissertationes Math. 380, 1-43; 2000, J. Approx. Theory 104, 226 -271). As an application we obtain also new upper entropy estimates for emb eddings of Besov spaces in generalized Lipschitz spaces. (C) 2001 Academic Press.