Herz type Besov and Triebel-Lizorkin spaces with variable exponent  

作　　者：Chune SHI Jingshi XU 

机构地区：[1]Department of Mathematics, Hainan Normal University, Haikou 571158, China

出　　处：《Frontiers of Mathematics in China》2013年第4期907-921,共15页中国高等学校学术文摘·数学（英文）

基　　金：This work was supported in part by the National Natural Science Foundation of China （Grant No. 11071064） and the Natural Science Foundation of Hainan Province （No. 111006）.

摘　　要：The Herz type Besov and Triebel-Lizorkin spaces with variable exponent are introduced. Then characterizations of these new spaces by maximal functions are given.The Herz type Besov and Triebel-Lizorkin spaces with variable exponent are introduced. Then characterizations of these new spaces by maximal functions are given.

关 键 词：Variable exponent Herz space Besov space Triebel-Lizorkin space equivalent norm maximal function 

分 类 号：O174.41[理学—数学] O177.3[理学—基础数学]