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Wavelet characterization of weighted Triebel-Lizorkin spaces

✍ Scribed by Deng Donggao; Xu Ming; Yan Lixin

Book ID
112908608
Publisher
Springer
Year
2002
Tongue
English
Weight
510 KB
Volume
18
Category
Article
ISSN
1573-8175

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## Abstract Let __G__ be a locally compact Vilenkin group. We consider the atomic and molecular decomposition of the weighted Triebel‐Lizorkin spaces on __G.__ As an application of it we prove boundedness results for certain pseudodifferential operators on such spaces.

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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