Norm attaining composition operators on Segal-Bargmann spaces
Functional Analysis
2024-02-26 v1
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 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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Cite
@article{arxiv.2402.15482,
title = {Norm attaining composition operators on Segal-Bargmann spaces},
author = {Neeru Bala and Sudip Ranjan Bhuia},
journal= {arXiv preprint arXiv:2402.15482},
year = {2024}
}
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12 Pages