Concavity property of minimal $L^{2}$ integrals with Lebesgue measurable gain II
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909216118145024 |
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| author | Guan, Qi'an Mi, Zhitong Yuan, Zheng |
| author_facet | Guan, Qi'an Mi, Zhitong Yuan, Zheng |
| contents | In this article, we present a concavity property of the minimal $L^{2}$ integrals related to multiplier ideal sheaves with Lebesgue measurable gain on weakly pseudoconvex Kähler manifolds. As applications, we give a necessary condition for the concavity degenerating to linearity, and a characterization for the holding of the equality in optimal jets $L^2$ extension problem on open Riemann surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_00473 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Concavity property of minimal $L^{2}$ integrals with Lebesgue measurable gain II Guan, Qi'an Mi, Zhitong Yuan, Zheng Complex Variables In this article, we present a concavity property of the minimal $L^{2}$ integrals related to multiplier ideal sheaves with Lebesgue measurable gain on weakly pseudoconvex Kähler manifolds. As applications, we give a necessary condition for the concavity degenerating to linearity, and a characterization for the holding of the equality in optimal jets $L^2$ extension problem on open Riemann surfaces. |
| title | Concavity property of minimal $L^{2}$ integrals with Lebesgue measurable gain II |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2211.00473 |