Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain VI: fibrations over products of open Riemann surfaces Article Swipe

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YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2211.05255

In this article, we present characterizations of the concavity property of minimal $L^2$ 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 $L^2$ 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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Mathematics

Riemann Hypothesis

Mathematical Analysis

Philosophy

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Mathematics Conjecture Lebesgue integration Pure mathematics Riemann surface Riemann hypothesis Property (philosophy) Mathematical analysis Philosophy Epistemology

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2211.05255
PDF: https://arxiv.org/pdf/2211.05255
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4308828002

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DOI: https://doi.org/10.48550/arxiv.2211.05255

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Title: Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain VI: fibrations over products of open Riemann surfaces

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Type: preprint

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Language: en

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Publication year: 2022

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Publication date: 2022-11-02

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Authors: Shijie Bao, Qi’an Guan, Zheng Yuan

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Landing page: https://arxiv.org/abs/2211.05255

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PDF URL: https://arxiv.org/pdf/2211.05255

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Concepts: Mathematics, Conjecture, Lebesgue integration, Pure mathematics, Riemann surface, Riemann hypothesis, Property (philosophy), Mathematical analysis, Philosophy, Epistemology

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