Geodesic
Non-smooth decomposition of homogeneous Triebel−Lizorkin−Morrey spaces
Commentationes Mathematicae, Tome 58 (2018) no. 1-2, p. 37–56.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The aim of this paper is to develop a theory of non-smooth decomposition in Triebel−Lizorkin−Morrey spaces. As a byproduct, we obtain the non-smooth decomposition results for Hardy spaces and Morrey spaces. The result extends what Frazier and Jawerth obtained in 1990 with the parameters subject to a condition. Unlike this foregoing work, the result in this paper is valid for all admissible parameters for Triebel−Lizorkin−Morrey spaces. As an application, an improvement of the Olsen inequality is obtained.
DOI : 10.14708/cm.v58i1-2.6381
Classification : 41A17, 42B35
Mots-clés : Atomic decomposition, Triebel−Lizorkin−Morrey spaces, Olsen's inequality 
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Keisuke Asami; Yoshihiro Sawano. Non-smooth decomposition of homogeneous Triebel−Lizorkin−Morrey spaces. Commentationes Mathematicae, Tome 58 (2018) no. 1-2, p.  37–56. doi : 10.14708/cm.v58i1-2.6381. http://geodesic.mathdoc.fr/articles/10.14708/cm.v58i1-2.6381/

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