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A note on C-normal weighted composition operators on the Fock space in several variables

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Abstract

In this article, we study the C-normal weighted composition operator \(W_{\psi ,\varphi }\) with respect to the weighted composition conjugation on the Fock space \({\mathcal {F}}^2({\mathbb {C}}^n)\), \(n\ge 2\). We also discuss the instance, where C-normality of \(W_{\psi ,\varphi }\) coincides with normality.

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Acknowledgements

The research of author is supported by the Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore, India.

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  1. Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 8th Mile, Mysore Road, Bangalore, 560059, India

    Sudip Ranjan Bhuia

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  1. Sudip Ranjan Bhuia
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Correspondence to Sudip Ranjan Bhuia.

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Communicated by Adrian Constantin.

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Bhuia, S.R. A note on C-normal weighted composition operators on the Fock space in several variables. Monatsh Math 201, 53–64 (2023). https://doi.org/10.1007/s00605-022-01729-7

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