Triebel, Hans; Winkelvoß, Heike Intrinsic atomic characterizations of function spaces on domains. (English) Zbl 0843.46022 Math. Z. 221, No. 4, 647-673 (1996). The spaces \(B^s_{pq} (\Omega)\) and \(F^s_{pq} (\Omega)\) are defined by restriction of corresponding spaces on \(\mathbb{R}^n\), where \(\Omega\) is a (maybe rather nasty) domain in \(\mathbb{R}^n\). Here \(s\in \mathbb{R}\), \(0< p,q\leq \infty\) \((p< \infty\) in the \(F\)-case). The aim of the paper is to give an intrinsic atomic characterization of all these spaces. Reviewer: H.Triebel (Jena) Cited in 15 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems Keywords:entropy numbers; atomic characterization PDFBibTeX XMLCite \textit{H. Triebel} and \textit{H. Winkelvoß}, Math. Z. 221, No. 4, 1 (1996; Zbl 0843.46022) Full Text: DOI EuDML