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 estimat
Characterizations of anisotropic Besov spaces
β Scribed by B. Barrios; J. J. Betancor
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 223 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
In this paper we obtain new characterizations of the distributions in certain anisotropic Besov spaces associated with expansive matrices. Also, anisotropic Herz type spaces are considered and the Fourier transform is analyzed on anisotropic Besov and Herz spaces.
π SIMILAR VOLUMES
## Abstract We define a class of weighted Besov spaces and we obtain a characterization of this class by means of an appropriate class of weighted Lipschitz __Ο__ spaces. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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. 273
## Abstract The aim of this paper is to study the equivalence between quasiβnorms of Besov spaces on domains. We suppose that the domain Ξ© β β^__n__^ is a bounded Lipschitz open subset in β^__n__^. First, we define Besov spaces on Ξ© as the restrictions of the corresponding Besov spaces on β^__n__^.
## Abstract We present characterizations of the Besov spaces of generalized smoothness $ B^{\sigma,N}\_{p,q} $ (β^__n__^ ) via approximation and by means of differences. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)