Compactness of embedings of function spaces defined on quasi-bounded domains and the distribution of

• 作 者: Hans-Gerd Leopold
• 机 构: Friedrich-Schiller-Universit(a)tJena
• 出 处: Harmonic Analysis and Applications(2014调和分析及其应用学术会议)
• 发表日期: 2014年6期

We discuss sufficient and necessary conditions for compactness of embeddings of Besov and Triebel-Lizorkin function spaces defined on bounded and unbounded uniformly Eporous domains.Moreover we prove the asymptotic behaviour of eigenvalues of elliptic self-adjoint differential operators defined on a wide class of quasi-bounded domains.The estimates are based on corresponding asymptotic behaviour of entropy numbers of Sobolev embeddings of Sobolev and Besov function spaces defined on the quasi-bounded domains.