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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)

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Keywords:

Besov spaces
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