Wavelet characterizations for anisotropic Besov spaces

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

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 p-spaces with 0 < p < ∞ are derived.

OriginalspracheEnglisch
ZeitschriftApplied and Computational Harmonic Analysis
Jahrgang12
Ausgabenummer2
Seiten (von - bis)179-208
Anzahl der Seiten30
ISSN1063-5203
DOIs
PublikationsstatusErschienen - 01.03.2002
Extern publiziertJa

Bibliographische Notiz

Funding Information:
This work has been supported by the Deutsche Forschungsgemeinschaft (DFG) under Grant Ho 1846/1-1. It was revised and completed while the author held a temporary full position for applied mathematics at the Universität Gesamthochschule Kassel.

DOI