Year: 2023
Type: preprint
Abstract: In this paper we introduce new spaces of holomorphic functions on the pointed unit disc of $\mathbb C$ 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 Fejér-Riesz inequalities to these spaces with an application on Toeplitz operators.
Source: arXiv (Cornell University)
Authors: Ghiloufi, Noureddine, Zaway, Mohamed
Institution: University of Gabès
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4386436409