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Multiscale Characterizations of Besov Spaces on Bounded Domains

✍ Scribed by R.A DeVore; G.C Kyriazis; P Wang

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 303 KB
Volume: 93
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1997.3142

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✦ Synopsis

We characterize the Besov regularity of functions on Lipschitz domains by means of their error of approximation by certain sequences of operators. As an application, we consider wavelet decompositions and we characterize Besov quasi-norms in terms of weighted sequence norms.

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