Boundary behavior of the squeezing functions of ℂ-convex domains and plane domains

Author:

Nikolov N.12,Andreev L.1

Affiliation:

1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev 8, 1113 Sofia, Bulgaria

2. Faculty of Information Sciences, State University of Library Studies and Information Technologies, Shipchenski Prohod 69A, 1574 Sofia, Bulgaria

Abstract

It is shown that any non-degenerate [Formula: see text]-convex domain in [Formula: see text] is uniformly squeezing. It is also found the precise behavior of the squeezing function near a Dini-smooth boundary point of a plane domain.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 17 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Explicit universal bounds for squeezing functions of (ℂ-)convex domains;International Journal of Mathematics;2024-04-27

2. A generalization of squeezing function;Complex Variables and Elliptic Equations;2023-12-03

3. The Squeezing Function: Exact Computations, Optimal Estimates, and a New Application;The Journal of Geometric Analysis;2023-10-14

4. On Some Properties of the Squeezing Function Corresponding to Polydisk;The Journal of Geometric Analysis;2022-11-15

5. Bergman metric on the symmetrized bidisk and its consequences;International Journal of Mathematics;2022-09-15

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