Abstract
In this paper, we completely characterize \(L^p\)–\(L^q\) boundedness and compactness of (maximal) Fock projections on \({\mathbb {C}}^n\) for \(1\le p,q<\infty .\) As applications, we also give \(L^p\)–\(L^q\) boundedness of generalized Fock projections and Berezin transforms.
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The authors would like to thank the referee for useful comments and suggestions that improved the quality of this paper. This research was supported by NNSF of China (Grant no. 11971340).
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Communicated by Kehe Zhu.
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Hou, S., Liu, Y. The \(L^p\)–\(L^q\) boundedness and compactness of Fock projections. Ann. Funct. Anal. 14, 54 (2023). https://doi.org/10.1007/s43034-023-00278-w
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DOI: https://doi.org/10.1007/s43034-023-00278-w