!ENTROPY NUMBERS OF EMBEDDINGS OF WEIGHTED BESOV SPACES. II

• DOI: 10.1017/s0013091505000386
• Publication Date: 2006-05-30T10:35:44Z
• Authors: Thomas Kühn; Hans-Gerd Leopold; Winfried Sickel; Leszek Skrzypczak
• Keywords: 0101 mathematics; 01 natural sciences

AbstractWe investigate the asymptotic behaviour of the entropy numbers of the compact embedding $B^{s_1}_{p_1,q_1}(\mathbb{R}^d,w_1)\hookrightarrow B^{s_2}_{p_2,q_2}(\mathbb{R}^d,w_2)$. Here $B^s_{p,q}(\mathbb{R}^d,w)$ denotes a weighted Besov space. We present a general approach which allows us to work with a large class of weights.