A remark on a generalized Suita conjecture for finite points case

2024/12/11 by Guan, Qi'an, Sun, Xun, Yuan, Zheng
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.08118

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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