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Realizations of homogeneous Besov and Lizorkin-Triebel spaces

✍ Scribed by Gérard Bourdaud

Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
236 KB
Volume
286
Category
Article
ISSN
0025-584X

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✦ Synopsis

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{amssymb}\begin{document}\pagestyle{empty}$\dot{F}_{{p},{q}}^{s}({\mathbb R}^n!)$\end{document}, modulo polynomials of degree less than k, for all integer k ≥ 0.

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