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.
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页码：4801 / 4818
页数：18
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