Explicit universal bounds for squeezing functions of ($\mathbb{C}$-)convex domains
Gautam Bharali, Николай Николов
Abstract
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Gautam Bharali, Николай Николов
Abstract
Open-access reader
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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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.
Key concepts: Regular polygon, Convex function, Mathematics, Class (philosophy), Function (biology), Pure mathematics, Combinatorics, Computer science