Generalized Slant H-Toeplitz Operators on the Bergman Space

Document Type : Original Article

Authors

Amita Aggarwal ¹

Anuradha Gupta ²

¹ Department of Mathematics‎, ‎Hansraj College‎, ‎University of Delhi‎, ‎New Delhi 110007‎, ‎India

² Department of Mathematics‎, ‎Delhi College of Arts and Commerce‎, ‎University of Delhi‎, ‎New Delhi 110023

10.22034/kjm.2025.505269.3455

Abstract

This paper introduces the concept of generalized slant H-Toeplitz operators on the Bergman space. It entails obtaining the matrix representation of the operator corresponding to the harmonic symbols. Additionally, the paper delves into the algebraic properties of the operator, presents its invariant space, and studies its Berezin transform. Through this study, we provide a deeper understanding of the generalized slant H-Toeplitz operators on the Bergman space, opening avenues for further research and insights.

Keywords

Berezin transform

Bergman space

generalized slant H-Toeplitz operator

invariant subspace

Toeplitz operator

Subjects

• 47 Operator theory

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