Wavelet characterizations for anisotropic Besov spaces
type: Item
instance of: scholarly article
title: Wavelet characterizations for anisotropic Besov spaces
zbMATH Open document ID: 1003.42024
author: Reinhard Hochmuth
published in: Applied and Computational Harmonic Analysis
publication date: 2003-01-14T00:00:00Z
review text: The goal of this paper is to provide wavelet characterizations for anisotropic Besov spaces. Depending on the anisotropy, appropriate biorthogonal tensor product bases are introduced and Jackson and Bernstein estimates are proved for two--parameter families of finite dimensional spaces. These estimates lead to characterizations for anisotropic Besov spaces by anisotropy dependent linear approximation spaces and lead further on to interpolation and embedding results. Finally, wavelet characterizations for anisotropic Besov spaces with respect to \(L_p\) spaces with \(0 < p < \infty\), are derived.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 41A30
zbMATH DE Number: 1751510
zbMATH Keywords: wavelets
zbMATH Keywords: anisotropic function spaces
zbMATH Keywords: Besov spaces
zbMATH Keywords: approximation spaces
zbMATH Keywords: Jackson estimates
zbMATH Keywords: interpolation
zbMATH Keywords: embedding
reviewed by: Richard A. Zalik
MaRDI profile type: Publication
OpenAlex ID: W2077998334
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DOI: 10.1006/ACHA.2001.0377
description: scientific article; zbMATH DE number 1751510