We investigate the close relation between certain weighted Sobolev spaces (Kondratiev spaces) and refined localization spaces from introduced by Triebel [39,40]. In particular, using a characterization for refined localization spaces from Scharf [32], we considerably improve an embedding from Hansen [17]. This embedding is of special interest in connection with convergence rates for adaptive approximation schemes.

翻译：我们研究了特定加权Sobolev空间（Kondratiev空间）与Triebel [39,40]引入的精细化局部化空间之间的紧密联系。特别地，利用Scharf [32]给出的精细化局部化空间刻画，我们显著改进了Hansen [17]中的一个嵌入结果。该嵌入结果对于自适应逼近方案的收敛速率具有特殊意义。