On the sharp $L^2$-estimates of Skoda division theorem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866918014848335872 |
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| author | Takakura, Masakazu |
| author_facet | Takakura, Masakazu |
| contents | In this paper, we prove a Skoda type division theorem with sharp $L^2$-estimate. Furthermore, using this estimate, we provide new characterizations of plurisubharmonic functions. We also explain that the sharp $L^2$-division theorem leads the Guan-Zhou's sharp $L^2$-estimate for extension theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05938 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the sharp $L^2$-estimates of Skoda division theorem Takakura, Masakazu Complex Variables In this paper, we prove a Skoda type division theorem with sharp $L^2$-estimate. Furthermore, using this estimate, we provide new characterizations of plurisubharmonic functions. We also explain that the sharp $L^2$-division theorem leads the Guan-Zhou's sharp $L^2$-estimate for extension theorem. |
| title | On the sharp $L^2$-estimates of Skoda division theorem |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2505.05938 |