Explicit universal bounds for squeezing functions of (ℂ-)convex domains-Reference-Cited by-同舟云学术

Explicit universal bounds for squeezing functions of (ℂ-)convex domains

Published:2024-04-27 Issue:08 Volume:35 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Bharali Gautam¹^ORCID,Nikolov Nikolai²³^ORCID

Affiliation:

1. Department of Mathematics, Indian Institute of Science, Bangalore 560012, India

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

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

Abstract

In this paper, we prove two separate lower bounds — one for nondegenerate convex domains and the other for nondegenerate [Formula: see text]-convex (but not necessarily convex) domains — for the squeezing function that hold true for all domains in [Formula: see text], for a fixed [Formula: see text], of the stated class. We provide explicit expressions in terms of [Formula: see text] for these estimates.

Funder

DST-FIST

Bulgarian National Science Fund, Ministry of Education and Science of Bulgaria

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X24500319

Reference12 articles.

1. Complex Convexity and Analytic Functionals

2. Some properties of squeezing functions on bounded domains

3. Applications of affine geometry to geometric function theory in several complex variables. I. Convergent rescalings and intrinsic quasi-isometric structure

4. Squeezing function corresponding to polydisk

5. Invariant Distances and Metrics in Complex Analysis