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Inhomogeneous Besov and Triebel-Lizorkin spaces associated with a para-accretive function and their applications

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Abstract

In this paper, using inhomogeneous Calderón’s reproducing formulas and the space of test functions associated with a para-accretive function, the inhomogeneous Besov and Triebel-Lizorkin spaces are established. As applications, pointwise multiplier theorems are also obtained.

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Authors and Affiliations

  1. School of Mathematics and Computational Science, **angtan University, **angtan, 411105, China

    Fang-hui Liao

  2. Department of Mathematics, China University of Mining and Technology, Bei**g, 100083, China

    Zong-guang Liu

  3. Department of basic curriculum, North China Institute of Science and Technology, Langfang, 065201, China

    **ao-** Zhang

Authors
  1. Fang-hui Liao
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  2. Zong-guang Liu
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  3. **ao-** Zhang
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Corresponding author

Correspondence to Fang-hui Liao.

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Conflict of interest The authors declare no conflict of interest.

Additional information

The first author is supported by the National Natural Science Foundation of China(11901495), Hunan Provincial NSF Project(2019JJ50573) and the Scientific Research Fund of Hunan Provincial Education Department(22B0155).

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Liao, Fh., Liu, Zg. & Zhang, Xj. Inhomogeneous Besov and Triebel-Lizorkin spaces associated with a para-accretive function and their applications. Appl. Math. J. Chin. Univ. 38, 493–509 (2023). https://doi.org/10.1007/s11766-023-3499-0

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  • DOI: https://doi.org/10.1007/s11766-023-3499-0

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