THE BOUNDEDNESS OF OPERATORS ON WEIGHTED MULTI-PARAMETER LOCAL HARDY SPACES  

作　　者：丁卫 汤彦 朱月萍 Wei DING;Yan TANG;Yueping ZHU(School of Sciences,Nantong University,Nantong,226007,China;Department of Mathematics,Nantong Normal College,Nantong,226010,China)

机构地区：[1]School of Sciences,Nantong University,Nantong,226007,China [2]Department of Mathematics,Nantong Normal College,Nantong,226010,China

出　　处：《Acta Mathematica Scientia》2024年第1期386-404,共19页数学物理学报（B辑英文版）

基　　金：Supported by the NSFC(12271322,12271501)。

摘　　要：Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators,untill now,the boundedness of operators on weighted Hardy spaces in a multi-parameter setting has been established only by almost orthogonality estimates.In this paper,we mainly establish the boundedness on weighted multi-parameter local Hardy spaces via atomic decomposition.

关 键 词：weighted multi-parameter local Hardy spaces atomic decomposition BOUNDEDNESS inhomogeneous Journéclass 

分 类 号：O177[理学—数学]