强奇异积分算子与Campanato函数生成的交换子  

Commutators of Strongly Singular Integral Operators and Campanato Functions

作　　者：朱晓矇 张璞 ZHU Xiaomeng;ZHANG Pu(Department of Mathematics,Mudanjiang Normal University,Mudanjiang,Heilongjiang,157011,P.R.China)

机构地区：[1]牡丹江师范学院数学科学学院,黑龙江牡丹江157011

出　　处：《数学进展》2024年第2期310-320,共11页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11571160);Project of Reform and Development Foundation for Local Universities from Central Government of China-Excellent Youth Talent Project of Heilongjiang Province(No.2020YQ07)。

摘　　要：设T为强奇异积分算子.T与函数b生成的交换子由Tbf=bT(f)-T(bf)给出.当b属于某些Campanato空间时,本文给出了交换子Tb从Morrey空间到Campanato空间有界的充分条件.Let T be a strongly singular integral operator.The commutator generated by T and a function b is given by Tbf=bT(f)−T(bf).In this paper,some sufficient conditions are given for the boundedness of the commutator Tb from Morrey spaces to Campanato spaces when b belongs to certain Campanato spaces.

关 键 词：强奇异积分算子 交换子 CAMPANATO空间 MORREY空间 

分 类 号：O174.2[理学—数学]