非倍测度下局部A_p权的性质  

The Properties of Local A_p Weights on Nondoubling Measures

作　　者：孙红妍 丰华 宋福陶[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2017年第4期9-13,共5页Natural Science Journal of Harbin Normal University

摘　　要：文献[1]介绍了经典A_p权的定义,随后文献[2]介绍了局部A_p权的定义,最后在文献[3]-[5]中了解到非倍测度的定义和倍测度下的局部A_p权的很多性质的证明.给出了可测度量空间中非倍测度下局部A_p权的性质,并且特别证明了非倍测度下局部A_p权性质是和方体边长的限制常数无关的.In this paper,the definition of classical A_p rights was introduced through literature[1],then the definition of local A_p rights was introduced through literature[2]. In the end,the definition of non-double measure and the many properties of local A_p rights under the double measure were proved. Therefore,the property of the partial power of the measurable measurement space was given,and the local A_p property of the non-double measure is independent of the limit constant of the side length of the square were proved.

关 键 词：非倍测度 局部Ap权 反Hlder不等式 

分 类 号：O174.12[理学—数学]