Concavity property of minimal L² integrals with Lebesgue measurable gain VI: fibrations over products of open Riemann surfaces

2022/11/02 by Shijie Bao, Bao, Shijie, Qi’an Guan +3
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2211.05255

openalex publication_date 2022/11/02 · openalex created_date 2022/11/16 · openalex updated_date 2026/07/28

Abstract

In this article, we present characterizations of the concavity property of minimal L² integrals degenerating to linearity in the case of fibrations over products of open Riemann surfaces. As applications, we obtain characterizations of the holding of equality in optimal jets L² extension problem from fibers over products of analytic subsets to fibrations over products of open Riemann surfaces, which implies characterizations of the equality parts of Suita conjecture and extended Suita conjecture for fibrations over products of open Riemann surfaces.

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