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Reverse Carleson inequalities for weighted Bergman spaces with Békollé weights

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Abstract

We obtain conditions that imply reverse Carleson inequalities for weighted Bergman spaces with Békollé weights. Our main theorem generalizes the results in the unweighted case by Luecking.

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Acknowledgements

The authors thank to Prof. Kehe Zhu for discussions, and anonymous referees for their suggestions and comments.

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Authors and Affiliations

  1. Department of Mathematics, Hebei University of technology, Tianjin, 300401, China

    Cezhong Tong & Xin Song

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  1. Cezhong Tong
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  2. Xin Song
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Correspondence to Cezhong Tong.

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Communicated by Adrian Constantin.

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Tong and Song were supported in part by the National Natural Science Foundation of China(Grant No. 1217011841), Natural Science Foundation of Hebei Province (Grant No. A2020202005) and Natural Science Foundation of Tianjin City (Grant No. 20JCYBJC00750)

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Tong, C., Song, X. Reverse Carleson inequalities for weighted Bergman spaces with Békollé weights. Monatsh Math 197, 733–753 (2022). https://doi.org/10.1007/s00605-022-01686-1

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