Littlewood-Paley Operators on Weighted Lipschitz Spaces  

加权Lipschitz空间上的Littlewood-Paley算子(英文)

作　　者：谭昌眉[1] 

机构地区：[1]渝西学院数学系,重庆永川402168

出　　处：《Journal of Mathematical Research and Exposition》2005年第4期593-602,共10页数学研究与评论（英文版）

基　　金：The Scienctific Research Fund of Chongqing Municipal Education Commission (021201)

摘　　要：Littlewood-Paley operators, the g-function, the area integral and the function g^＊λ, are considered as operators on weighted Lipschitz spaces. It is proved that the image of a weighted Lipschitz function under one of these operators is either equal to infinity almost everywhere or is in weighted Lipschitz spaces.本文研究了加权Lipschitz空间上的Littlewood-Paley算子.,证明了一个加权Lipschitz 函数在Littlewood-Paley算子下的象或者几乎处处等于无穷或者仍是一个加权Lipschitz函数.

关 键 词：Littlewood-Paley operator weighted Lipschitz spaces weighted norm inequality. 

分 类 号：O177[理学—数学]