Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain III: open Riemann surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866913813236809728 |
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| author | Guan, Qi'an Yuan, Zheng |
| author_facet | Guan, Qi'an Yuan, Zheng |
| contents | In this article, we present a characterization of the concavity property of minimal $L^2$ integrals degenerating to linearity in the case of finite points on open Riemann surfaces. As an application, we give a characterization of the holding of equality in optimal jets $L^2$ extension problem from analytic subsets to open Riemann surfaces, which is a weighted jets version of Suita conjecture for analytic subsets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_04951 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain III: open Riemann surfaces Guan, Qi'an Yuan, Zheng Complex Variables In this article, we present a characterization of the concavity property of minimal $L^2$ integrals degenerating to linearity in the case of finite points on open Riemann surfaces. As an application, we give a characterization of the holding of equality in optimal jets $L^2$ extension problem from analytic subsets to open Riemann surfaces, which is a weighted jets version of Suita conjecture for analytic subsets. |
| title | Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain III: open Riemann surfaces |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2211.04951 |