AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Article Link
Collect
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Original Article

Concavity Property of Minimal L2 Integrals with Lebesgue Measurable Gain Ⅳ: Product of Open Riemann Surfaces

School of Mathematical Sciences, Peking University, Beijing 100871, China
Show Author Information

Abstract

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

Peking Mathematical Journal
Pages 91-154
Cite this article:
Guan, Q., Yuan, Z. Concavity Property of Minimal L2 Integrals with Lebesgue Measurable Gain Ⅳ: Product of Open Riemann Surfaces. Peking Math J 7, 91-154 (2024). https://doi.org/10.1007/s42543-022-00053-1

92

Views

5

Crossref

Altmetrics

Received: 14 December 2021
Accepted: 26 June 2022
Published: 29 October 2022
© Peking University 2022
Return