Entropy numbers of Sobolev embeddings of radial Besov spaces.
type: Item
instance of: scholarly article
title: Entropy numbers of Sobolev embeddings of radial Besov spaces.
zbMATH Open document ID: 1047.47016
DOI: 10.1016/S0021-9045(02)00063-1
author: Thomas Kühn
author: Hans-Gerd Leopold
author: Winfried Sickel
author: Leszek Skrzypczak
published in: Journal of Approximation Theory
publication date: 2003-05-27T00:00:00Z
review text: This paper investigates the quality of compact embedding between the radial subspaces of Besov and Triebel-Lizorkin spaces on the Euclidean \(n\)-space \(\mathbb{R}^n\). In particular, with proper definitions, the entropy numbers of Sobolev embeddings of radial Besov spaces are independent of the difference \(s_0-s_1\) as long as the embedding is compact.
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 1917876
zbMATH Keywords: radial spaces
zbMATH Keywords: weighted spaces
zbMATH Keywords: atomic decompositions
zbMATH Keywords: entropy numbers
zbMATH Keywords: traces
zbMATH Keywords: compact embeddings
reviewed by: Joe Howard
MaRDI profile type: Publication
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full work available at URL: s0021-9045(02)00063-1
OpenAlex ID: W1986584524
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description: scientific article; zbMATH DE number 1917876