Bylund, Per Besov spaces and measures on arbitrary closed sets. (English) Zbl 0860.46021 Doctoral Thesis. Umeå: Univ. of Umeå, Dept. of Mathematics. iv, 128 p. (1994). This doctoral thesis consists of three separate papers. All these papers deal with Besov spaces \(B^s_{pq}(F)\) on general closed subsets \(F\) in \(\mathbb{R}^n\) and their relations to corresponding Besov spaces \(B^s_{pq}(\mathbb{R}^n)\) (traces and extensions). The considerations are based on qualitative assumptions for related Borel measures supported on \(F\). The author extends previous results by A. Jonsson and H. Wallin. Reviewer: H.Triebel (Jena) Cited in 1 ReviewCited in 4 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems Keywords:Besov spaces PDFBibTeX XMLCite \textit{P. Bylund}, Besov spaces and measures on arbitrary closed sets. Umeå: Univ. of Umeå, Dept. of Mathematics (1994; Zbl 0860.46021)