Concavity property of minimal L² integrals with Lebesgue measurable gain V--fibrations over open Riemann surfaces

2022/11/01 by Shijie Bao, Bao, Shijie, Qi’an Guan +3
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2211.00470

Abstract

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

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