非齐度量测度空间上的Herz-Morrey-Hardy空间及其应用  

Herz-Morrey-Hardy space on non-homogeneous metric measure space and its applications

作　　者：张振荣[1] 赵凯 ZHANG Zhen-rong;ZHAO Kai(Department of Mathematics,Qingdao Huanghai University,Qingdao 266427,Shandong,China;School of Mathematics and Statistics,Qingdao University,Qingdao 266071,Shandong,China)

机构地区：[1]青岛黄海学院数学教学部,山东青岛266427 [2]青岛大学数学与统计学院,山东青岛266071

出　　处：《云南大学学报（自然科学版）》2023年第1期1-8,共8页Journal of Yunnan University(Natural Sciences Edition)

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

摘　　要：在一个既满足上双倍条件又满足几何双倍条件的非齐度量测度空间上,引进了一类Herz-MorreyHardy空间,讨论了它的分解.作为应用,利用非齐度量测度空间的性质,借助于非齐度量测度空间上CalderónZygmund算子的L q有界性,在非齐度量测度空间上证明了Calderón-Zygmund算子是从Herz-Morrey-Hardy空间到Morrey-Herz空间有界的.For a non-homogeneous metric measure space satisfying the upper doubling and the geometrically doubling conditions,the Herz-Morrey-Hardy spaces on the non-homogeneous metric measure spaces are introduced.The decomposition of the Herz-Morrey-Hardy spaces is discussed.Then,as an application,by the properties of the non-homogeneous metric measure spaces,based on the theory of boundedness for Calderón-Zygmund operators on Lqspaces,the boundedness of the Calderón-Zygmund operators from the Herz-Morrey-Hardy spaces into the Morrey-Herz spaces with non-homogeneous metric measure is obtained.

关 键 词：非齐度量测度空间 Herz-Morrey-Hardy空间 Morrey-Herz space空间 CALDERÓN-ZYGMUND算子 有界性 

分 类 号：O174.2[理学—数学]