Volume growth of quasihyperbolic balls
Xiaohui Zhang, Riku Kl\'en, Ville Suomala, Matti Vuorinen
TL;DR
This paper investigates how the volume of quasihyperbolic balls in a domain grows with increasing radius, providing estimates that relate volume growth to the radius in Euclidean space.
Contribution
It introduces new growth estimates for quasihyperbolic volume of balls, advancing understanding of geometric properties in quasihyperbolic metric spaces.
Findings
Derived growth estimates for quasihyperbolic volume
Established relationships between volume and radius in Euclidean domains
Enhanced understanding of geometric behavior in quasihyperbolic spaces
Abstract
The purpose of this paper is to study the notion of the quasihyperbolic volume and to find growth estimates for the quasihyperbolic volume of balls in a domain in terms of the radii.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAnalytic and geometric function theory · Geometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations