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

Keisuke Asami, and Yoshihiro Sawano. "Non-smooth decomposition of homogeneous Triebel−Lizorkin−Morrey spaces." Commentationes Mathematicae 58.1-2 (2018): null. <http://eudml.org/doc/295466>.

@article{KeisukeAsami2018,
abstract = {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.},
author = {Keisuke Asami, Yoshihiro Sawano},
journal = {Commentationes Mathematicae},
keywords = {Atomic decomposition; Triebel−Lizorkin−Morrey spaces; Olsen's inequality},
language = {eng},
number = {1-2},
pages = {null},
title = {Non-smooth decomposition of homogeneous Triebel−Lizorkin−Morrey spaces},
url = {http://eudml.org/doc/295466},
volume = {58},
year = {2018},
}

TY - JOUR
AU - Keisuke Asami
AU - Yoshihiro Sawano
TI - Non-smooth decomposition of homogeneous Triebel−Lizorkin−Morrey spaces
JO - Commentationes Mathematicae
PY - 2018
VL - 58
IS - 1-2
SP - null
AB - 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.
LA - eng
KW - Atomic decomposition; Triebel−Lizorkin−Morrey spaces; Olsen's inequality
UR - http://eudml.org/doc/295466
ER -