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Generalized Hilbert-Type operator in Weighted Bergman Spaces

Year: 2025

Type: article

Abstract: If f be an analytic function on the unit disk in the complex plane We consider the generalized Hilbert-type operators defined by (refer PDF for equation) where and b are non-negative real numbers. In particular, for , becomes the Generalized Hilbert operator and for , it becomes the classical Hilbert operator . We study these operators acting on weighted Bergman spaces of analytic functions in Here we give conditions on the parameters and such that is bounded on .

Source: International journal for current research and techniques.

DOI: 10.5281/zenodo.17119482

Author: K. Rajbangshi

Institution: Arya Vidyapeeth College

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7081649641

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