Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms
type: Item
instance of: scholarly article
title: Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms
zbMATH Open document ID: 1242.47018
author: Hans Triebel
published in: Journal of Approximation Theory
publication date: 2012-01-16T00:00:00Z
review text: Let \(B\) be the unit ball in \(\mathbb{R}^{n}\). The paper deals with the continuous embeddings of a special weighted Sobolev space of functions defined on \(B\) into the Lebesgue space of complex-valued measurable functions on \(B\). The weights involve log-terms. In the case where the embeddings are compact, some two-sided estimates for the entropy numbers and approximation numbers are proved.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 41A46
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 5998032
zbMATH Keywords: Sobolev space with weights
zbMATH Keywords: Lesbegue space
zbMATH Keywords: approximation numbers
zbMATH Keywords: entropy numbers
zbMATH Keywords: compact embeddings
MaRDI profile type: Publication
full work available at URL: j.jat.2011.09.002
OpenAlex ID: W2065396152
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DOI: 10.1016/J.JAT.2011.09.002
description: scientific article; zbMATH DE number 5998032