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

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.