Concavity property of minimal L² integrals with Lebesgue measurable gain II

2022/11/01 by Qi’an Guan, Guan, Qi'an, Zhitong Mi +3
Mathematics · #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2211.00473

openalex publication_date 2022/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we present a concavity property of the minimal L² integrals related to multiplier ideal sheaves with Lebesgue measurable gain on weakly pseudoconvex Kähler manifolds. As applications, we give a necessary condition for the concavity degenerating to linearity, and a characterization for the holding of the equality in optimal jets L² extension problem on open Riemann surfaces.

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