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arXiv · 2402.15482

Norm attaining composition operators on Segal-Bargmann spaces

Neeru Bala·Sudip Ranjan Bhuia
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Abstract

In this note, we study the composition operators on Segal-Bargmann spaces, which attains its norm and we show that every composition operators on the classical Fock space over $\mathbb{ C}^n$ is norm attaining. Also, we establish a necessary and sufficient condition for a sum of two kernel functions to be an extremal function for the norm of composition operators.

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Neeru Bala, Sudip Ranjan Bhuia. 2024-02-23. Norm attaining composition operators on Segal-Bargmann spaces. https://arxiv.org/abs/2402.15482

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