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arXiv · 2412.08118

A remark on a generalized Suita conjecture for finite points case

Qi'an Guan·Xun Sun·Zheng Yuan
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Abstract

In this article, we use a class of harmonic functions (maybe multi-valued) to study the equality part in a weighted version of Suita conjecture for higher derivatives and finite points case, and we obtain some sufficient and necessary conditions for the equality part to hold when the harmonic part $u$ of the weight is trivial.

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Qi'an Guan, Xun Sun, Zheng Yuan. 2025-05-30. A remark on a generalized Suita conjecture for finite points case. https://arxiv.org/abs/2412.08118

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