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Mixed Hardy spaces and their applications

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Abstract

Multi-parameter mixed Hardy space \(H_{{\rm{mix}}}^p\) is introduced by a new discrete Calderón’s identity. As an application, we obtain the \(H_{{\rm{mix}}}^p \to {L^p}\left({{ℝ^{{n_1} + {n_2}}}} \right)\) boundedness of operators in the mixed Journé’s class.

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Authors and Affiliations

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

    Wei Ding

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

    Yueping Zhu

Authors
  1. Wei Ding
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  2. Yueping Zhu
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Corresponding author

Correspondence to Yueping Zhu.

Additional information

Supported by NNSFC (11771223, 11501308), and Natural science foundation of Inner Mongolia (2019MS01003).

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Ding, W., Zhu, Y. Mixed Hardy spaces and their applications. Acta Math Sci 40, 945–969 (2020). https://doi.org/10.1007/s10473-020-0405-1

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  • DOI: https://doi.org/10.1007/s10473-020-0405-1

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