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Asymptotics and Isometries of Weighted Composition Operators on Banach Spaces of Holomorphic Functions

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Abstract

We have developed some convergence criteria for the weighted composition operators on various Banach spaces of holomorphic functions, which also extends some of the results of Chalendar and Partington (Weighted Composition Operators: Isometries and Asymptotic Behaviour, 2019). We have also characterized the isometries of the weighted composition operators on the Hardy spaces \(H^p({\mathbb {D}})\), which extends the characterization of the isometric weighted composition operators on the Hardy-Hilbert space \(H^2({\mathbb {D}})\) done in Kumar and Partington (Oper Theory Adv Appl 153:157–167).

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Data Availability Statement

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request

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Authors and Affiliations

  1. Department of Mathematics, Lady Shri Ram College for Women, University of Delhi, Delhi, India

    Mahesh Kumar

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  1. Mahesh Kumar
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Correspondence to Mahesh Kumar.

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Communicated by H. Turgay Kaptanoglu.

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Kumar, M. Asymptotics and Isometries of Weighted Composition Operators on Banach Spaces of Holomorphic Functions. Complex Anal. Oper. Theory 15, 48 (2021). https://doi.org/10.1007/s11785-021-01099-2

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