Generalized besov spaces and their applications

Takeshi Kawazoe, Hatem Mejjaoli

研究成果: Article

10 被引用数 (Scopus)

抄録

We define and study the Bessel potential and inhomogeneous Besov spaces associated with the Dunkl operators on Rd. 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.

本文言語English
ページ(範囲)297-320
ページ数24
ジャーナルTokyo Journal of Mathematics
35
2
DOI
出版ステータスPublished - 2012 12 1

ASJC Scopus subject areas

  • Mathematics(all)

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