The Boundedness of Littlewood-Paley Operators with Rough Kernels on Weighted (L^q , L^p )~α (R^n) Spaces  

作　　者：Ximei Wei Shuangping Tao 

机构地区：[1]College of Mathematics and Statistics, Northwest Normal University

出　　处：《Analysis in Theory and Applications》2013年第2期135-148,共14页分析理论与应用（英文刊）

基　　金：supported in part by National Natural Foundation of China (Grant No. 11161042 and No. 11071250)

摘　　要：In this paper, we shall deal with the boundedness of the Littlewood-Paley operators with rough kernel. We prove the boundedness of the Lusin-area integral μΩs and Littlewood-Paley functions μΩ and μλ^＊ on the weighted amalgam spaces （Lω^q,L^p）^α（R^n）as 1〈q≤α〈p≤∞.In this paper, we shall deal with the boundedness of the Littlewood-Paley operators with rough kernel. We prove the boundedness of the Lusin-area integral μΩs and Littlewood-Paley functions μΩ and μλ^＊ on the weighted amalgam spaces （Lω^q,L^p）^α（R^n）as 1〈q≤α〈p≤∞.

关 键 词：Littlewood-Paley operator weighted amalgam space rough kernel Ap weight. 

分 类 号：O177[理学—数学]