The squeezing function on doubly-connected domains via the Loewner differential equation

For any bounded domains Ω in C n , Deng, Guan and Zhang introduced the squeezing function S Ω ( z ) which is a biholomorphic invariant of bounded domains. We show that for n = 1 , the squeezing function on an annulus A r = { z ∈ C : r < | z | < 1 } is given by S A r ( z ) = max | z | , r | z |...

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Veröffentlicht in:	Mathematische annalen 2021-08, Vol.380 (3-4), p.1741-1766
Hauptverfasser:	Ng, Tuen Wai, Tang, Chiu Chak, Tsai, Jonathan
Format:	Artikel
Sprache:	eng
Schlagworte:	Annuli Compressing Differential equations Domains Formulas (mathematics) Lower bounds Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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