Vol. 15 No. 3 (2025): IJCRT, Volume 15, Issue 3, 2025
Articles

Generalized Hilbert-Type operator in Weighted Bergman Spaces

PDF
  • K. Rajbangshi
K. Rajbangshi
Department of Mathematics, Arya Vidyapeeth College (Autonomous), India,
DOI: https://doi.org/10.5281/zenodo.17119483
Categories

Published 2025-09-15

Keywords

  • Generalized Hilbert-type operators,
  • Integral-type operators,
  • Bergman Spaces

How to Cite

K. Rajbangshi. (2025). Generalized Hilbert-Type operator in Weighted Bergman Spaces. IJCRT Research Journal | UGC Approved and UGC Care Journal | Scopus Indexed Journal Norms, 15(3), 51007–51012. https://doi.org/10.5281/zenodo.17119483

Copyright (c) 2025 IJCRT Research Journal | UGC Approved and UGC Care Journal | Scopus Indexed Journal Norms

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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 .

PDF