Remarks on g-functions on H^n  

作　　者：Ming Ju LIU Shan Zhen LU 

机构地区：[1]LMIB and Department of Mathematics, Beihang University, Beijing 100083, P. R. China [2]Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第1期7-16,共10页数学学报（英文版）

基　　金：the National 973 Project(G.19990751);the SEDF of China(20010027002);Math.Tianyuan Project

摘　　要：In this paper, the authors study some properties of Littlewood-Paley g-functions gψ（f）,Lusin area functions Sψ,α（f） and Littlewood-Paley gψ^＊,λ（f） functions defined on H^n, where α,λ 〉 0 and ψ, f are suitable functions. They are the generalization of the corresponding operators on R^n.In this paper, the authors study some properties of Littlewood-Paley g-functions gψ（f）,Lusin area functions Sψ,α（f） and Littlewood-Paley gψ^＊,λ（f） functions defined on H^n, where α,λ 〉 0 and ψ, f are suitable functions. They are the generalization of the corresponding operators on R^n.

关 键 词：Square integrable function WEIGHT Herz spaces 

分 类 号：O17[理学—数学]