Approximation numbers in some weighted function spaces
type: Item
instance of: scholarly article
title: Approximation numbers in some weighted function spaces
zbMATH Open document ID: 0832.46025
published in: Journal of Approximation Theory
publication date: 1995-10-30T00:00:00Z
review text: The author studies weighted function spaces of type \(B^s_{p, q}(\mathbb{R}^n, w(x))\) and \(F^s_{p, q}(\mathbb{R}^n, w(x))\), where \(w(x)\) is a weight function of at most polynomial growth, preferably \(w(x)= (1+ |x|^2)^{\alpha/2}\) with \(\alpha\in \mathbb{R}\). The main result deals with estimates for the approximation numbers of compact embeddings between spaces of this type. Furthermore, she is concerned with the dependence of the approximation numbers \(a_k\) of compact embeddings between function spaces \(B^s_{p, q}(\Omega)\) and \(F^s_{p, q}(\Omega)\) on an underlying domain \(\Omega\).
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 47B06
zbMATH DE Number: 810861
zbMATH Keywords: weighted function spaces
zbMATH Keywords: approximation numbers
zbMATH Keywords: embeddings
author: Dorothee D. Haroske
MaRDI profile type: Publication
Wikidata QID: Q57339771
full work available at URL: jath.1995.1111
OpenAlex ID: W1978124382
DOI: 10.1006/JATH.1995.1111
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description: scientific article; zbMATH DE number 810861