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

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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.
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)
出处 《Acta Mathematica Scientia》 SCIE CSCD 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)。
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