Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain V--fibrations over open Riemann surfaces
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866911053032456192 |
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| author | Bao, Shijie Guan, Qi'an Yuan, Zheng |
| author_facet | Bao, Shijie Guan, Qi'an Yuan, Zheng |
| contents | In this article, we present characterizations of the concavity property of minimal $L^2$ 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 $L^2$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2211_00470 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain V--fibrations over open Riemann surfaces Bao, Shijie Guan, Qi'an Yuan, Zheng Complex Variables 32D15, 32E10, 32L10, 32U05, 32W05 In this article, we present characterizations of the concavity property of minimal $L^2$ 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 $L^2$ 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. |
| title | Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain V--fibrations over open Riemann surfaces |
| topic | Complex Variables 32D15, 32E10, 32L10, 32U05, 32W05 |
| url | https://arxiv.org/abs/2211.00470 |