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Zipeng Wang and
Kenan Zhang
Hypercontractive inequalities and Nikolski-type inequalities on weighted Bergman spaces
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| Published: |
October 13, 2025. |
| Keywords: |
Poisson transform, hypercontractive inequality, Bergman spaces, Nikolski-type inequalities. |
| Subject [2020]: |
32A36, 30H20, 46E15. |
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Abstract
In this note, we obtain hypercontractive inequalities between different weighted Bergman spaces. In addition, we establish Nikolski-type inequalities for weighted Bergman spaces with optimal constants.
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| Acknowledgements
The authors would like to thank the anonymous referee for the insightful and skillful report, which included many valuable suggestions.
We would like to express our gratitude to Professor Kunyu Guo for his insightful suggestions on the manuscript.
This work is supported by National Natural Science Foundation of China (No. 12471116) and National Natural Science Foundation of Chongqing (Nos. CSTB2022BSXM-JCX0088 and 2022NSCQ-MSX0321).
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| Author information
Zipeng Wang
College of Mathematics and Statistics
Chongqing University
Chongqing 401331, China
zipengwang2012@gmail.com
Kenan Zhang
School of Mathematical Sciences
Fudan University
Shanghai 200433, China
knzhang21@m.fudan.edu.cn
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