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arXiv · 2310.08385

Explicit universal bounds for squeezing functions of ($\mathbb{C}$-)convex domains

Gautam Bharali·Nikolai Nikolov
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Abstract

We prove two separate lower bounds -- one for nondegenerate convex domains and the other for nondegenerate $\mathbb{C}$-convex (but not necessarily convex) domains -- for the squeezing function that hold true for all domains in $\mathbb{C}^n$, for a fixed $n\geq 2$, of the stated class. We provide explicit expressions in terms of $n$ for these estimates.

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Gautam Bharali, Nikolai Nikolov. 2023-10-12. Explicit universal bounds for squeezing functions of ($\mathbb{C}$-)convex domains. https://doi.org/10.1142/s0129167x24500319

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