Complex interpolation of Besov spaces and Triebel–Lizorkin spaces with variable exponents
✍ Scribed by Takahiro Noi; Yoshihiro Sawano
- Book ID
- 113721587
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 241 KB
- Volume
- 387
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
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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