## Abstract We discuss the existence and unicity of translation and dilation commuting realizations of the homogeneous spaces \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\dot{B}\_{{p},{q}}^{s}({\mathbb R}^n\!)$\end{document} and \documentclass{article}\usepackage{am
Real interpolations for Besov and Triebel-Lizorkin spaces on spaces of homogeneous type
✍ Scribed by Dachun Yang
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 226 KB
- Volume
- 273
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
The author establishes a full real interpolation theorem for inhomogeneous Besov and Triebel‐Lizorkin spaces on spaces of homogeneous type. The corresponding theorem for homogeneous Besov and Triebel‐Lizorkin spaces is also presented. Moreover, as an application, the author gives the reduced __T__1 theorem for homogeneous Besov spaces on spaces of homogeneous type. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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## Abstract The purpose of this paper is to develop a theory of the Besov‐Morrey spaces and the Triebel‐Lizorkin‐Morrey spaces on domains in **R**^__n__^. We consider the pointwise multiplier operator, the trace operator, the extension operator and the diffeomorphism operator. Not only to domains i
## Abstract We determine the trace of Besov spaces \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$\mathfrak {B}^s\_{p,q}(\Omega )$\end{document} and Triebel‐Lizorkin spaces \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$\mathfrak {F}^s\_{p
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## Abstract Rychkov defined weighted Besov spaces and weighted Triebel‐Lizorkin spaces coming with a weight in the class \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$A\_p^{\rm loc}$\end{document}, which is even wider than the class __A__~__p__~ due to Muckenhoupt. In
In this paper we study new Besov and Triebel-Lizorkin spaces on the basis of the Fourier-Bessel transformation.