Calderón-Zygmund算子与交换子在非齐度量测度空间上Morrey空间中的有界性  

Boundedness of Calderón-Zygmund Operators and Commutators on Morrey Spaces Associated with Non-homogeneous Metric Measure Spaces

作　　者：陶双平[1] 王萍[1] 

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2015年第6期1073-1080,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11161042)

摘　　要：用函数分解及几何双倍条件和上双倍条件方法,得到了Calderón-Zygmund算子及其与RBMO(μ)函数生成的交换子在非齐度量测度空间上Morrey空间中的有界性;并且当p=n/β时,证明了Calderón-Zygmund算子与Lipschitz函数生成的交换子是从Morrey空间到RBMO空间有界的.With the aid of the methods of the function decompositions and the conditions of the geometrically and upper doubling,the boundedness of Calderón-Zygmund operators and its commutators generated by RBMO（μ）functions was obtained on Morrey spaces associated with nonhomogeneous metric measure spaces. Moreover,as p =n/β,it was proved that commutators generated by Calderón-Zygmund operators and Lipschitz functions are bounded from the Morrey spaces into RBMO（μ）spaces.

关 键 词：CALDERÓN-ZYGMUND算子 交换子 RBMO(μ)函数 度量测度空间 MORREY空间 

分 类 号：O174.2[理学—数学]