Sharply estimating hyperbolic capacities

2025/02/19 by Jie Xiao, Jin, Xiaoshang, Xiao, Jie
Computer Science · Mathematics · #31B15 #49Q10 #53C21 #74G65 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Equations Stability Results #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2502.13651

openalex publication_date 2025/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to establishing four types of sharp capacitary inequalities within the hyperbolic space as detailed in Theorems 2.1-3.1-4.1-5.1.

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