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arXiv · 2309.00552

Meromorphic Bergman spaces

Noureddine Ghiloufi·Mohamed Zaway
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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 Fej\'er-Riesz inequalities to these spaces with an application on Toeplitz operators.

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Noureddine Ghiloufi, Mohamed Zaway. 2023-09-01. Meromorphic Bergman spaces. https://arxiv.org/abs/2309.00552

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