REGULARITY OF MORREY COMMUTATORS

被引：35

作者：

Adams, David R. ^{[1
]}

Xiao, Jie ^{[2
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 364卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Morrey-Sobolev spaces; commutators; traces; weights; Choquet integrals; fractional Laplacians; Riesz integrals; maximal operators; SPACES; POTENTIALS; INEQUALITY; OPERATORS; EQUATIONS;

D O I：

10.1090/S0002-9947-2012-05595-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to presenting a new proof of boundedness of the commutator bI(alpha) - I(alpha)b (in which I-alpha and b are regarded as the Riesz and multiplication operators) acting on the Morrey space L-p,L-lambda under b is an element of BMO, and naturally, developing a regularity theory of commutators for Morrey-Sobolev spaces I-alpha(L-p,L-lambda) via a completely original iteration of I-alpha. Even in the special case of I-alpha(L-p), this is a new theory.

引用

页码：4801 / 4818

页数：18

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