In this work, we explore the theme of L p -boundedness of Bergman projections of domains that can be covered, in the sense of ramified coverings, by “nice” domains (e.g., strictly pseudoconvex domains with real analytic boundary). In particular, we focus on two-dimensional normal ramified coverings whose covering group is a finite unitary reflection group. In an infinite family of examples, we are able to prove L p boundedness of the Bergman projection for every p ∈ (1, ∞).

(2023). Nonabelian Ramified Coverings and L^p-boundedness of Bergman Projections in C^2 [journal article - articolo]. In THE JOURNAL OF GEOMETRIC ANALYSIS. Retrieved from https://hdl.handle.net/10446/234189

Nonabelian Ramified Coverings and L^p-boundedness of Bergman Projections in C^2

Monguzzi, Alessandro
2023-01-01

Abstract

In this work, we explore the theme of L p -boundedness of Bergman projections of domains that can be covered, in the sense of ramified coverings, by “nice” domains (e.g., strictly pseudoconvex domains with real analytic boundary). In particular, we focus on two-dimensional normal ramified coverings whose covering group is a finite unitary reflection group. In an infinite family of examples, we are able to prove L p boundedness of the Bergman projection for every p ∈ (1, ∞).
articolo
Dall' Ara, Gian Maria; Monguzzi, Alessandro
(2023). Nonabelian Ramified Coverings and L^p-boundedness of Bergman Projections in C^2 [journal article - articolo]. In THE JOURNAL OF GEOMETRIC ANALYSIS. Retrieved from https://hdl.handle.net/10446/234189
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/234189
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