非齐型度量测度空间上Calderón-Zygmund算子与Campanato函数的交换子  

Commutators of Calderón-Zygmund Operators and Campanato Functions with Non-homogeneous Metric Measure

作　　者：姜伟伟[1] 赵凯 JIANG Weiwei;ZHAO Kai(School of Big Data,Qingdao Huanghai University,Qingdao 266427,China;School of Mathematics and Statistics,Qingdao University,Qingdao 266071,China)

机构地区：[1]青岛黄海学院大数据学院,山东青岛266427 [2]青岛大学数学与统计学院,山东青岛266071

出　　处：《应用数学》2023年第3期652-661,共10页Mathematica Applicata

基　　金：山东省自然科学基金(ZR2020MA004);国家自然科学基金(11471176,11871293)。

摘　　要：在一个满足上双倍条件和几何双倍条件的非齐型度量测度空间上,利用非齐型度量测度空间中Herz空间和Herz型Hardy空间的分解,借助于Calderón-Zygmund算子在L^(p)空间上的有界性理论,证明了Calderón-Zygmund算子与Campanato空间中函数生成的交换子在非齐型度量测度空间中的Herz空间和Herz型Hardy空间上的有界性.For a non-homogeneous metric measure space satisfying the upper doubling and the geometrically doubling conditions,by the decompositions of the Herz spaces and Herz type Hardy spaces on non-homogeneous metric measure spaces,based on the theory of boundedness for Calderón-Zygmund operators on the L~p spaces,the authors proved that the commutators of Calderón-Zygmund operators and Campanato functions are bounded on the Herz spaces and Herz type Hardy spaces with non-homogeneous metric measure.

关 键 词：非齐型度量测度空间 CALDERÓN-ZYGMUND算子 Campanato函数 交换子 HERZ型空间 

分 类 号：O174.2[理学—数学]