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December 2012 Generalized Besov Spaces and Their Applications
Takeshi KAWAZOE, Hatem MEJJAOLI
Tokyo J. Math. 35(2): 297-320 (December 2012). DOI: 10.3836/tjm/1358951320

Abstract

We define and study the Bessel potential and inhomogeneous Besov spaces associated with the Dunkl operators on $\mathbf{R}^d$. As applications on these spaces we construct the Sobolev type embedding theorem and the paraproduct operators associated with the Dunkl operators, as similar to those defined by Bony. We also establish Strichartz type estimates for the Dunkl-Schrödinger equation and finally we study the problem of well posedness of the generalized heat equation.

Citation

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Takeshi KAWAZOE. Hatem MEJJAOLI. "Generalized Besov Spaces and Their Applications." Tokyo J. Math. 35 (2) 297 - 320, December 2012. https://doi.org/10.3836/tjm/1358951320

Information

Published: December 2012
First available in Project Euclid: 23 January 2013

zbMATH: 1331.35296
MathSciNet: MR3058708
Digital Object Identifier: 10.3836/tjm/1358951320

Subjects:
Primary: 35L05
Secondary: 22E30, 35J25, 46E35

Rights: Copyright © 2012 Publication Committee for the Tokyo Journal of Mathematics

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Vol.35 • No. 2 • December 2012
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