The asymptotic behavior of the Bergman kernel on pseudoconvex model domains

2023/08/16 by Joe Kamimoto, Kamimoto, Joe · 1 citation
Materials Science · Mathematics · #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Flame retardant materials and properties #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2308.08249

openalex publication_date 2023/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the asymptotic behavior of the Bergman kernel at the boundary for some pseudoconvex model domains. This behavior can be described by the geometrical information of the Newton polyhedron of the defining function of the respective domains. We deal with not only the finite type cases but also some infinite type cases.

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• Asymptotic behavior of the Bergman kernel and associated invariants in weakly pseudoconvex domains

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