Commutators of Calderón–Zygmund and generalized fractional integral operators on generalized Morrey spaces

被引：1
作者：
Ryutaro Arai
Eiichi Nakai
机构：
[1] Ibaraki University,Department of Mathematics
来源：
Revista Matemática Complutense | 2018年 / 31卷
关键词：
Morrey space; Campanato space; Variable growth condition; Singular integral; Fractional integral; Commutator; 42B35; 46E30; 42B20; 42B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the commutators [b, T] and [b,Iρ]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$[b,I_{\rho }]$$\end{document}, where T is a Calderón–Zygmund operator, Iρ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\rho }$$\end{document} is a generalized fractional integral operator and b is a function in generalized Campanato spaces with variable growth condition. We give necessary and sufficient conditions for the boundedness of the commutator on generalized Morrey spaces with variable growth condition.
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页码：287 / 331
页数：44
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