Concavity property of minimal $L^{2}$ integrals with Lebesgue measurable gain VIII -- partial linearity and log-convexity
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914783284953088 |
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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 give some necessary conditions for the concavity property of minimal $L^2$ integrals degenerating to partial linearity, a charaterization for the concavity degenerating to partial linearity for open Riemann surfaces, and some relations between the concavity property for minimal $L^2$ integrals and the log-convexity for Bergman kernels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07112 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Concavity property of minimal $L^{2}$ integrals with Lebesgue measurable gain VIII -- partial linearity and log-convexity Bao, Shijie Guan, Qi'an Yuan, Zheng Complex Variables In this article, we give some necessary conditions for the concavity property of minimal $L^2$ integrals degenerating to partial linearity, a charaterization for the concavity degenerating to partial linearity for open Riemann surfaces, and some relations between the concavity property for minimal $L^2$ integrals and the log-convexity for Bergman kernels. |
| title | Concavity property of minimal $L^{2}$ integrals with Lebesgue measurable gain VIII -- partial linearity and log-convexity |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2307.07112 |