Multipliers and Herz type spaces  

作　　者：LU ShanZhen School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China 

出　　处：《Science China Mathematics》2008年第10期1919-1936,共18页中国科学：数学（英文版）

基　　金：the National Natural Science Foundation of China (Grant No. 10571014)

摘　　要：Hrmander condition for boundedness of multiplier operators will be replaced by a weaker condition described by certain weighted or non-weighted Herz spaces. Some results on boundedness of multiplier operators are then established. As direct corollaries of main theorems in this paper, several celebrated results on boundedness of multiplier operators will be improved or deduced.H?rmander condition for boundedness of multiplier operators will be replaced by a weaker condition described by certain weighted or non-weighted Herz spaces. Some results on boundedness of multiplier operators are then established. As direct corollaries of main theorems in this paper, several celebrated results on boundedness of multiplier operators will be improved or deduced.

关 键 词：MULTIPLIER Herz space Herz type Hardy space 42B15 42B30 42B35 

分 类 号：O177[理学—数学]