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Wavelet Characterizations for Anisotropic Besov Spaces

✍ Scribed by Reinhard Hochmuth

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 269 KB
Volume: 12
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.2001.0377

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✦ Synopsis

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 pspaces with 0 < p < ∞ are derived.  2002 Elsevier Science (USA)

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