2 papers
math.DG2025
Essential -capacity-volume estimates for rotationally symmetric manifolds
Xiaoshang Jin, Jie Xiao
Given , this article presents the novel basic volumetric estimates for the relative -capacities with their applications to finding not only the sharp weak $(p,q…
math.DG2025
Sharply estimating hyperbolic capacities
Xiaoshang Jin, Jie Xiao
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.