Multiresolution weighted norm equivalencies and applications (Q1882554)
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scientific article; zbMATH DE number 2104954
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiresolution weighted norm equivalencies and applications |
scientific article; zbMATH DE number 2104954 |
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Multiresolution weighted norm equivalencies and applications (English)
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1 October 2004
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Norm equivalencies in terms of wavelet expansions for Sobolev and Besov spaces have been proved by several authors [cf. e.g. \textit{Y. Meyer}, Ondelettes et opérateurs. I. (1990; Zbl 0694.41037) and \textit{W. Dahmen}, ``Wavelet and multiscale methods for operator equations'', Acta Numer. 6, 55--228 (1997; Zbl 0884.65106)]. In weighted Sobolev spaces with possible singular weight function a proof of the multilevel norm equivalencies is the main result of this paper.
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multiscale norm equivalencies
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weighted Sobolev space
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operator equations
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biorthogonal wavelet basis
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Besov spaces
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