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.
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Nantong Univ, Sch Sci, Nantong, Peoples R China
Nantong Univ, Sch Sci, Nantong 226007, Peoples R ChinaNantong Univ, Sch Sci, Nantong, Peoples R China
Ding, Wei
Gu, Min
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Nantong Univ, Sch Sci, Nantong, Peoples R ChinaNantong Univ, Sch Sci, Nantong, Peoples R China
Gu, Min
Zhu, Yueping
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Nantong Normal Coll, Dept Math, Nantong, Peoples R ChinaNantong Univ, Sch Sci, Nantong, Peoples R China