SHARP BOUNDS FOR HARDY OPERATORS ON PRODUCT SPACES  

作　　者：魏明权 燕敦验 

机构地区：[1]School of Mathematics and Statistics, Xinyang Normal University [2]School of Mathematical Sciences, University of Chinese Academy of Sciences

出　　处：《Acta Mathematica Scientia》2018年第2期441-449,共9页数学物理学报（B辑英文版）

基　　金：supported by NSFC(11471309,11271162,and11561062);Project of Henan Provincial Department of Education(18A110028);the Nanhu Scholar Program for Young Scholars of XYNU;Doctoral Scientific Research Startup Fund of Xinyang Normal University(2016)

摘　　要：In this article, we obtain the sharp bounds from LP（Gn） to the space wLP（Gn） for Hardy operators on product spaces. More generally, the precise norms of Hardy operators on product spaces from LP（Gn） to the space LPI （Gn） are obtained.In this article, we obtain the sharp bounds from LP（Gn） to the space wLP（Gn） for Hardy operators on product spaces. More generally, the precise norms of Hardy operators on product spaces from LP（Gn） to the space LPI （Gn） are obtained.

关 键 词：Hardy operators product spaces wLP（Gn） LPI（Gn） NORM 

分 类 号：O177[理学—数学]