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Carleson Measures on the Weighted Bergman Spaces with Békollé Weights

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Abstract

In this paper, the authors characterize Carleson measures for the weighted Bergman spaces with Békollé weights on the unit ball. They apply the Carleson embedding theorem to study the properties of Toeplitz-type operators and composition operators acting on such spaces.

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Acknowledgements

Tong thanks to Prof. Brett D. Wick for discussions and Department of Mathematics of Washington University in St. Louis for its hospitality and support. The authors thank the anonymous referee(s) for the careful review and suggestions.

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Authors and Affiliations

  1. Institute of Mathematics, Hebei University of Technology, Tianjin, 300401, China

    Cezhong Tong

  2. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Junfeng Li

Authors
  1. Cezhong Tong
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  2. Junfeng Li
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Corresponding authors

Correspondence to Cezhong Tong or Junfeng Li.

Additional information

This work was supported by China Scholarship Fund and National Natural Science Foundation of China (No. 11301132) and Natural Science Foundation of Hebei Province (No. A2020202005) and Natural Science Foundation of Tianjin City (No. 20JCYBJC00750).

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Tong, C., Li, J. Carleson Measures on the Weighted Bergman Spaces with Békollé Weights. Chin. Ann. Math. Ser. B 42, 583–600 (2021). https://doi.org/10.1007/s11401-021-0280-7

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  • DOI: https://doi.org/10.1007/s11401-021-0280-7

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