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
The Boundedness of Singular Integral Operators and Commutators with Rough Kernel on the Weighted Generalized Morrey-Type Spaces
DOI: 10.12677/PM.2022.123052, PDF,   
作者: 锁清莉：东华理工大学理学院，江西 南昌；刘建明：吉首大学数学与统计学院，湖南 吉首
关键词: 奇异积分算子；交换子；粗糙核；Morrey空间；Ap权；Singular Integral Operators； Commutators； Rough Kernel； Morrey Spaces； Ap Weighted
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。
Abstract: 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).
文章引用：锁清莉, 刘建明. 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[J]. 理论数学, 2022, 12(3): 464-472. https://doi.org/10.12677/PM.2022.123052

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