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Wavelet characterizations for anisotropic Besov spaces

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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OriginalspracheEnglisch
Seiten (von - bis)179-208
Seitenumfang30
FachzeitschriftApplied and Computational Harmonic Analysis
Jahrgang12
Ausgabenummer2
PublikationsstatusVeröffentlicht - März 2002
Extern publiziertJa

Abstract

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 Lp-spaces with 0 < p < ∞ are derived.

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Wavelet characterizations for anisotropic Besov spaces. / Hochmuth, Reinhard.
in: Applied and Computational Harmonic Analysis, Jahrgang 12, Nr. 2, 03.2002, S. 179-208.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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KW - Embedding

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