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Normality and Self-Adjointness of Weighted Composition–Differentiation Operators

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Abstract

We investigate the properties of weighted composition–differentiation operators acting on the Hardy space \(H^{2}\), providing a complete characterization of self-adjointness and a partial characterization of normality.

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Acknowledgements

The authors are grateful to the anonymous reviewer for making several helpful suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran

    Mahsa Fatehi

  2. Department of Mathematics and Statistics, Connecticut College, New London, CT, 06320, USA

    Christopher N. B. Hammond

Authors
  1. Mahsa Fatehi
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  2. Christopher N. B. Hammond
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Correspondence to Christopher N. B. Hammond.

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Fatehi, M., Hammond, C.N.B. Normality and Self-Adjointness of Weighted Composition–Differentiation Operators. Complex Anal. Oper. Theory 15, 9 (2021). https://doi.org/10.1007/s11785-020-01057-4

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  • DOI: https://doi.org/10.1007/s11785-020-01057-4

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