English

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 C\mathbb{C}-convex (but not necessarily convex) domains -- for the squeezing function that hold true for all domains in Cn\mathbb{C}^n, for a fixed n2n\geq 2, of the stated class. We provide explicit expressions in terms of nn 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)

R2 v1 2026-06-28T12:48:48.121Z