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arXiv · 2405.08559

A bridge connecting convex analysis and complex analysis and $L^2$-estimate of $d$ and $\bar\partial$

Fusheng Deng·Jinjin Hu·Weiwen Jiang·Xiangsen Qin
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Abstract

We propose a way to connect complex analysis and convex analysis. As applications, we derive some results about $L^2$-estimate for $d$-equation and prove some curvature positivity related to convex analysis from well known $L^2$-estimate for $\bar\partial$-equation or the results we prove in complex analysis.

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Fusheng Deng, Jinjin Hu, Weiwen Jiang, Xiangsen Qin. 2024-05-14. A bridge connecting convex analysis and complex analysis and $L^2$-estimate of $d$ and $\bar\partial$. https://arxiv.org/abs/2405.08559

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