Equivalent norms in spaces of functions of fractional smoothness on an arbitrary domain.
type: Item
instance of: scholarly article
title: Equivalent norms in spaces of functions of fractional smoothness on an arbitrary domain.
zbMATH Open document ID: 1068.46021
DOI: 10.1023/A:1026198500722
author: O. V. Besov
published in: Mathematical Notes
publication date: 2004-12-02T00:00:00Z
review text: The paper deals with spaces of type \(B^s_{pq} (G)\) and \(F^s_{pq}(G)\) for arbitrary domains \(G \subset \mathbb{R}^n\) where \(s>0\), \(1\leq p,q \leq \infty\). The author proves that these spaces can be equivalently normed either in terms of means of differences or in terms of best polynomial approximations.
reviewed by: Hans Triebel
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 2121043
zbMATH Keywords: Besov spaces on domains
zbMATH Keywords: Triebel-Lizorkin spaces on domains
zbMATH Keywords: equivalent norms
zbMATH Keywords: integral representations
zbMATH Keywords: polynomial approximations
MaRDI profile type: Publication
full work available at URL: a:1026198500722
OpenAlex ID: W160154531
description: scientific article; zbMATH DE number 2121043