Herz-type Triebel-Lizorkin Spaces, I  

作　　者：Jing Shi XU Da Chun YANG 

机构地区：[1]Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China [2]Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2005年第3期643-654,共12页数学学报（英文版）

基　　金：The first author is partially supported by NNSF (No. 60474070) NSF of Hunan, China (01JJY3003);the second (corresponding) author is partially supported by RFDP (No. 20020027004) and NNSF (No. 10271015)of China

摘　　要：Let s ∈R,0〈β≤∞, 0〈 q, p〈 ∞ and-n/q〈α. In this paper the authors introduce the Herz-type Triebel-Lizorkin spaces,Kq^α,pFβ^s（R^n）andKq^α,pFβ^s（R^n）which are the generalizations of the well-known Herz-type spaces and the inhomogeneous Triebel-Lizorkin spaces, Some properties on these Herz-type Triebel Lizorkin spaces are also given.Let s ∈R,0〈β≤∞, 0〈 q, p〈 ∞ and-n/q〈α. In this paper the authors introduce the Herz-type Triebel-Lizorkin spaces,Kq^α,pFβ^s（R^n）andKq^α,pFβ^s（R^n）which are the generalizations of the well-known Herz-type spaces and the inhomogeneous Triebel-Lizorkin spaces, Some properties on these Herz-type Triebel Lizorkin spaces are also given.

关 键 词：Herz space Triebel-Lizorkin space Maximal function EMBEDDING MULTIPLIER Lifting property 

分 类 号：O177.3[理学—数学]