New characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
✍ Scribed by Yan Chang Han
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2009
- Tongue
- English
- Weight
- 312 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1439-7617
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## 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
## 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 re