A Schwarz-type lemma for squeezing functions on planar domains
Volume 131 / 2023
Annales Polonici Mathematici 131 (2023), 183-191
MSC: Primary 30C80.
DOI: 10.4064/ap230205-3-8
Published online: 5 October 2023
Abstract
With an easy application of the maximum principle, we establish a Schwarz-type lemma for the squeezing functions of finitely connected planar domains which bounds the squeezing functions in terms of invariants obtained from the canonical circularly slit representations of the domains. In particular, our result directly yields the explicit formulas for squeezing functions on doubly connected domains obtained by Ng, Tang and Tsai.
