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

• Autorzy: Keisuke Asami , Yoshihiro Sawano
• 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: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2018
• Tom: 58
• Numer: 1-2

Daty

wydano

2018

online

2019-01-16

Twórcy

autor

Keisuke Asami

autor

Yoshihiro Sawano

Identyfikatory

DOI

10.14708/cm.v58i1-2.6381