Abstract
In this paper we give some estimates on norms of bounded composition operators between Fock spaces. In particular, when \(q<p\) and \(\varphi (z)=Az+B\) with \(\Vert A\Vert \le 1\), we determine exactly the norm of the bounded composition operator \(C_{\varphi }: F^p\rightarrow F^q\).
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Acknowledgements
The author would like to thank the referee for her/his valuable comments. The author’s work was supported by the National Natural Science Foundation of China(11671306, 11771441).
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Communicated by Anton D. Baranov.
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Dai, J. Norms of composition operators between Fock spaces. Ann. Funct. Anal. 11, 171–184 (2020). https://doi.org/10.1007/s43034-019-00028-x
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DOI: https://doi.org/10.1007/s43034-019-00028-x