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Numerical range of Toeplitz and Composition operators on weighted Bergman spaces

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arxiv 2502.02833 v1 pith:BT5WENON submitted 2025-02-05 math.FA

Anirban Sen , Subhadip Halder , Riddhick Birbonshi , Kallol Paul This is my paper · ORCID
classification math.FA
keywords numericalrangeweightedoperatorsbergmancompositionspacestoeplitz
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In this paper we completely describe the numerical range of Toeplitz operators on weighted Bergman spaces with harmonic symbol. We also characterize the numerical range of weighted composition operators on weighted Bergman spaces and classify some sets which are the numerical range of composition operators. We investigate the inclusion of zero in the numerical range, and compute the radius of circle and ellipse contained in the numerical range of weighted composition operators on weighted Bergman spaces.

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  1. On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces

    math.FA 2025-06 conditional novelty 5.0 of 10

    Harmonic-symbol Toeplitz operators on weighted Bergman spaces have Berezin range exactly equal to the symbol's range, with new convexity results for composition operators.

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