A remark on a weighted version of Suita conjecture for higher derivatives

2022/12/06 by Qi’an Guan, Xun Sun, Guan, Qi'an +3
Mathematics · #Advanced Differential Equations and Dynamical Systems #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2212.02713

openalex publication_date 2022/12/06 · openalex created_date 2022/12/20 · openalex updated_date 2026/07/28

Abstract

In this article, we consider the set of points for the holding of the equality in a weighted version of Suita conjecture for higher derivatives, and give relations between the set and the integer valued points of a class of harmonic functions (maybe multi-valued). For planar domains bounded by finite analytic closed curves, we give relations between the set and Dirichlet problem.

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