APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES  

作　　者：徐景实 杨大春 

机构地区：[1]Department of Mathematics,Beijing Normal University,Beijing 100875,China Department of Mathematics,Hunan University,Changsha 410082,China [2]Department of Mathematics,Beijing Normal University,Beijing 100875,China

出　　处：《Acta Mathematica Scientia》2003年第3期328-338,共11页数学物理学报（B辑英文版）

基　　金：Xu Jingshi was partially supported by NSF of Hunan in China;Yang DaChun was partially supported by NNSF(10271015)and SEDF of China

摘　　要：In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then study the pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers.In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then study the pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers.

关 键 词：Herz-type space Triebel-Lizorkin space pointwise multiplier pseudodifferential operator maximal operator 

分 类 号：O177[理学—数学]