On the sharp $L^2$-estimates of Skoda division theorem

Masakazu Takakura

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arXiv · 2505.05938

On the sharp $L^2$-estimates of Skoda division theorem

Masakazu Takakura

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Abstract

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.

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Masakazu Takakura. 2025-05-09. On the sharp $L^2$-estimates of Skoda division theorem. https://arxiv.org/abs/2505.05938

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