Non-smooth decomposition of homogeneous Triebel-Lizorkin-Morrey spaces

• Autorzy: Asami K. , Sawano Y.

Identyfikatory

DOI

10.14708/cm.v58i1-2.6381

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

atomic decomposition; Triebel-Lizorkin-Morrey spaces; Olsen's inequality

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2018
• Tom: Vol. 58, No. 1/2
• Strony: 37--56
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Asami K.

• Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minamiosawa, Hachioji, Tokyo 192-0397, Japan

autor

Sawano Y.

• Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minamiosawa, Hachioji, Tokyo 192-0397, Japan
• Department of Mathematics Analysis and the Theory of functions, Peoples’ Friendship University of Russian, Moscow, Russian

Bibliografia

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