Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces
type: Item
instance of: scholarly article
title: Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces
zbMATH Open document ID: 1207.42020
DOI: 10.1155/2010/469513
author: Henning Kempka
published in: Journal of Function Spaces and Applications
publication date: 2010-08-30T00:00:00Z
review text: This paper deals with the 2-microlocal Besov spaces previously considered by the author in [Rev. Mat. Complut. 22, 227--251(2009; Zbl 1166.42011)], in that case with variable integrability. The main results refer to the atomic and molecular representations of elements in such a space in the corresponding discrete 2-microlocal Besov space. Also a wavelet decomposition is obtained and used to prove the invariance of these spaces under pseudo-differential operators of order 0.
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 47G30
zbMATH DE Number: 5776297
zbMATH Keywords: Besov spaces
zbMATH Keywords: microlocal spaces
zbMATH Keywords: wavelets
zbMATH Keywords: atomic decomposition
zbMATH Keywords: molecular decomposition
reviewed by: Joan Cerdà
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/469513
OpenAlex ID: W2018097188
description: scientific article; zbMATH DE number 5776297