Meromorphic Bergman spaces
Complex Variables
2023-09-04 v1
Abstract
In this paper we introduce new spaces of holomorphic functions on the pointed unit disc of that generalize classical Bergman spaces. We prove some fundamental properties of these spaces and their dual spaces. We finish the paper by extending Hardy-Littlewood and Fej\'er-Riesz inequalities to these spaces with an application on Toeplitz operators.
Keywords
Cite
@article{arxiv.2309.00552,
title = {Meromorphic Bergman spaces},
author = {Noureddine Ghiloufi and Mohamed Zaway},
journal= {arXiv preprint arXiv:2309.00552},
year = {2023}
}
Comments
15 pages, no figure