Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (4): 945-969.doi: 10.1007/s10473-020-0405-1

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MIXED HARDY SPACES AND THEIR APPLICATIONS

Wei DING1, Yueping ZHU2   

  1. 1. School of Sciences, Nantong University, Nantong 226007, China;
    2. Department of Mathematics, Nantong Normal College, Nantong 226010, China
  • Received:2019-06-05 Revised:2019-08-11 Online:2020-08-25 Published:2020-08-21
  • Contact: Yueping ZHU E-mail:zhuyueping@ntu.edu.cn
  • Supported by:
    Supported by NNSFC (11771223, 11501308), and Natural science foundation of Inner Mongolia (2019MS01003).

Abstract: Multi-parameter mixed Hardy space $H^{p}_{\rm mix}$ is introduced by a new discrete Calderón's identity. As an application, we obtain the $ H^{p}_{\rm mix} \rightarrow L^{p}(\mathbb{R}^{n_{1}+n_{2}})$ boundedness of operators in the mixed Journé's class.

Key words: mixed Hardy spaces, discrete Calderón's identity, singular integral operators, atoms

CLC Number: 

  • 42B35
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