Hausdorf operators on Euclidean spaces  

作　　者：CHEN Jie-cheng FAN Da-shan WANG Si-lei 

机构地区：[1]Department of Mathematics, Zhejiang Normal University [2]Department of Mathematics, University of Wisconsin-Milwaukee,Milwaukee, WI 53201, USA [3]Department of Mathematics, Zhejiang University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2013年第4期548-564,共17页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11201103,10931001);the Zhejiang Natural Science Foundation of China(Y604563)

摘　　要：Hausdorff operator is an important operator raised from the dilation on Euclidean space and rooted in the classical summability of number series and Fourier series. It is also connected to many well known operators in real and complex analysis. This article is a survey of some recent developments and extensions on the Hausdorff operator. Particularly, various boundedness properties of the Hausdorff operators, studied recently by our research group, are addressed.Hausdorff operator is an important operator raised from the dilation on Euclidean space and rooted in the classical summability of number series and Fourier series. It is also connected to many well known operators in real and complex analysis. This article is a survey of some recent developments and extensions on the Hausdorff operator. Particularly, various boundedness properties of the Hausdorff operators, studied recently by our research group, are addressed.

关 键 词：Hausdorff operator Hardy operator BOUNDEDNESS 

分 类 号：O177[理学—数学]