On the \(L^2\)-pointwise regularity of functions in critical Besov spaces
type: Item
instance of: scholarly article
title: On the \(L^2\)-pointwise regularity of functions in critical Besov spaces
zbMATH Open document ID: 1062.46027
author: Mohamed Moussa
published in: Revista Matemática Complutense
publication date: 2004-10-25T00:00:00Z
full work available at URL: https://eudml.org/doc/44515
review text: The main aim of the paper is to prove that for any \[ f \in \bigcap_{p>0} \dot{B}^{n(1/p - 1/2)}_{p,p} (\mathbb R^n) \] there is a set \(E\) in \(\mathbb R^n\) of Hausdorff dimension zero such that \(f\) has the additional pointwise regularity \(f \in C^\infty_{L_2} (x)\) if \(x \not\in E\).
reviewed by: Hans Triebel
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 2109943
zbMATH Keywords: Besov spaces
zbMATH Keywords: wavelets
MaRDI profile type: Publication
OpenAlex ID: W2145418078
DOI: 10.5209/REV_REMA.2004.V17.N2.16741
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description: scientific article; zbMATH DE number 2109943