Sharply estimating hyperbolic capacities
Xiaoshang Jin, Jie Xiao
TL;DR
This paper establishes four sharp capacitary inequalities in hyperbolic space, advancing the mathematical understanding of capacities in non-Euclidean geometries.
Contribution
It introduces new sharp inequalities for capacities in hyperbolic space, expanding the theoretical framework in geometric analysis.
Findings
Four types of sharp capacitary inequalities proved
Theorems 2.1, 3.1, 4.1, 5.1 established
Enhanced understanding of hyperbolic capacities
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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Taxonomy
TopicsFunctional Equations Stability Results · Advanced Mathematical Modeling in Engineering · Mathematical functions and polynomials