Two-microlocal Besov spaces and wavelets.
type: Item
instance of: scholarly article
title: Two-microlocal Besov spaces and wavelets.
zbMATH Open document ID: 1052.46025
DOI: 10.4171/RMI/389
author: Shinya Moritoh
author: Tomomi Yamada
published in: Revista Matemática Iberoamericana
publication date: 2004-09-28T00:00:00Z
full work available at URL: https://eudml.org/doc/39632
review text: Summary: We give a characterization of two-microlocal Besov spaces in terms of local Besov type conditions. As an easy consequence, we obtain inclusions between two-microlocal Besov spaces and local Besov spaces. These results are natural extensions of those obtained by Jaffard and Meyer, who treated the pointwise Hölder regularity in terms of two-microlocal estimates. The Daubechies wavelets play a key role throughout the paper.
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 2104147
zbMATH Keywords: Besov spaces
zbMATH Keywords: two-microlocal estimates
zbMATH Keywords: wavelets
MaRDI profile type: Publication
cites work: Orthonormal bases of compactly supported wavelets
cites work: On interior regularity of the solutions of partial differential equations
cites work: Wavelet methods for pointwise regularity and local oscillations of functions
cites work: Q3995454
cites work: Q3336200
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description: scientific article; zbMATH DE number 2104147