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Parametrized Littlewood–Paley Operators on Herz-Type Hardy Spaces with Variable Exponent

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Abstract

In this paper, the authors establish the boundedness of parametrized Littlewood–Paley area integral and \(g^*_\lambda \)-function, and their high-order commutators on Herz-type Hardy spaces with variable exponent. These results are also new even for classical Herz-type Hardy space.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Gansu Key Laboratory of Applied Mathematics and Complex Systems, Lanzhou University, Lanzhou, 730000, People’s Republic of China

    Xiong Liu & Sibei Yang

  2. College of Mathematics and System Sciences, Xinjiang University, Ürümqi, 830046, People’s Republic of China

    Xinxia Wang & Baode Li

Authors
  1. Xiong Liu
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  2. Sibei Yang
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  3. Xinxia Wang
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  4. Baode Li
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Corresponding author

Correspondence to Baode Li.

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Communicated by Sorina Barza.

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This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 11860162, 11871254, 11661075 and 11561065).

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Liu, X., Yang, S., Wang, X. et al. Parametrized Littlewood–Paley Operators on Herz-Type Hardy Spaces with Variable Exponent. Bull. Malays. Math. Sci. Soc. 43, 4143–4169 (2020). https://doi.org/10.1007/s40840-020-00913-y

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  • DOI: https://doi.org/10.1007/s40840-020-00913-y

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