非齐型度量测度空间上Herz-Morrey-Hardy空间的分子刻画  

Molecular characterization of the Herz-Morrey-Hardy spaces on non-homogeneous metric measure space

作　　者：刘迪[1] 赵凯 LIU Di;ZHAO Kai(School of Data Science,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：《云南大学学报（自然科学版）》2024年第3期422-431,共10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(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型度量测度空间上,引进了一类分子HerzMorrey-Hardy空间,讨论了它的分子表示.利用非齐型度量测度空间的性质,原子块和分子块的特征,以及离散系数的性质,证明了在非齐型度量测度空间上原子Herz-Morrey-Hardy空间和分子Herz-Morrey-Hardy空间是等价的,也即得到了Herz-Morrey-Hardy空间的分子刻画.For a non-homogeneous metric measure space satisfying the upper doubling and the geometrically doubling conditions,the molecular Herz-Morrey-Hardy spaces on the non-homogeneous metric measure space are introduced.The decomposition of the molecular Herz-Morrey-Hardy spaces is discussed.Then,by the properties of the non-homogeneous metric measure space,the characteristics of atom block and molecule block,and the properties of discrete coefficients,the equivalent for the atomic Herz-Morrey-Hardy spaces and the molecular Herz-Morrey-Hardy spaces is proved.In another words,this is the molecular characterization of the Herz-Morrey-Hardy spaces on non-homogeneous metric measure space.

关 键 词：非齐型度量测度空间 Herz-Morrey-Hardy空间 分子 原子 刻画 

分 类 号：O174.2[理学—数学]