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The boundedness of operators on weighted multi-parameter local Hardy spaces

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Abstract

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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Authors and Affiliations

  1. School of Sciences, Nantong University, Nantong, 226007, China

    Wei Ding & Yan Tang

  2. Department of Mathematics, Nantong Normal College, Nantong, 226010, China

    Yueping Zhu

Authors
  1. Wei Ding
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  2. Yan Tang
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  3. Yueping Zhu
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Correspondence to Yueping Zhu.

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Conflict of Interest The authors declare no conflict of interest.

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Supported by the NSFC (12271322, 12271501).

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Ding, W., Tang, Y. & Zhu, Y. The boundedness of operators on weighted multi-parameter local Hardy spaces. Acta Math Sci 44, 386–404 (2024). https://doi.org/10.1007/s10473-024-0121-3

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  • DOI: https://doi.org/10.1007/s10473-024-0121-3

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