An optimal $L^2$ extension for continuous $L^2$-optimal Hermitian metrics
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916814850621440 |
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| author | Liu, Zhuo |
| author_facet | Liu, Zhuo |
| contents | In this paper, we obtain an optimal $L^2$ extension theorem for continuous $L^2$-optimal Hermitian metric on bounded planer domains. As applications, we affirmatively answer a question of Deng-Ning-Wang and a question of Inayama. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22840 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An optimal $L^2$ extension for continuous $L^2$-optimal Hermitian metrics Liu, Zhuo Complex Variables 32U05, 32D15, 32L15, 32U35 In this paper, we obtain an optimal $L^2$ extension theorem for continuous $L^2$-optimal Hermitian metric on bounded planer domains. As applications, we affirmatively answer a question of Deng-Ning-Wang and a question of Inayama. |
| title | An optimal $L^2$ extension for continuous $L^2$-optimal Hermitian metrics |
| topic | Complex Variables 32U05, 32D15, 32L15, 32U35 |
| url | https://arxiv.org/abs/2506.22840 |