带粗糙核的奇异积分算子及其交换子在新型加权广义Morrey空间上的有界性被引量：1

The Boundedness of Singular Integral Operators and Commutators with Rough Kernel on the Weighted Generalized Morrey-Type Spaces

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摘要本文利用Ap权函数类的一些性质和调和分析中处理奇异积分及其交换子的若干方法,得到了带粗糙核的奇异积分算子TΩ及其交换子TΩb在一类新型加权广义Morrey空间Mp,θ(ω)上的有界性。 In this paper, by using some properties of the Ap weight function class and the methods to solve with the singular integral and its commutator in harmonic analysis, we get the boundedness of the singular integral operator TΩ its commutator TΩb with a rough kernel on a class of new weighted generalized Morrey space Mp,θ(ω).

作者锁清莉刘建明

机构地区东华理工大学理学院吉首大学数学与统计学院

出处《理论数学》 2022年第3期464-472,共9页 Pure Mathematics

关键词奇异积分算子交换子粗糙核 MORREY空间 A<sub>p</sub>权

分类号 O177 [理学—基础数学]

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1YU Xiao,ZHANG Hui-hui,ZHAO Guo-ping.Weighted boundedness of some integral operators on weighted λ-central Morrey space[J].Applied Mathematics(A Journal of Chinese Universities),2016,31(3):331-342. 被引量：5
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