Explicit universal bounds for squeezing functions of ($\mathbb{C}$-)convex domains
Complex Variables
2026-02-16 v2
Abstract
We prove two separate lower bounds -- one for nondegenerate convex domains and the other for nondegenerate -convex (but not necessarily convex) domains -- for the squeezing function that hold true for all domains in , for a fixed , of the stated class. We provide explicit expressions in terms of for these estimates.
Keywords
Cite
@article{arxiv.2310.08385,
title = {Explicit universal bounds for squeezing functions of ($\mathbb{C}$-)convex domains},
author = {Gautam Bharali and Nikolai Nikolov},
journal= {arXiv preprint arXiv:2310.08385},
year = {2026}
}
Comments
8 pages; added new references, a discussion on pp. 7,8 on the strictness of the inequalities in Theorems 1.1 and 1.2, and a question (Question 4.2 on p. 8)