Open Access
2015 LIMITING BEHAVIOR OF THE KOBAYASHI DISTANCE
Monika Budzyńska, Tadeusz Kuczumow, Simeon Reich
Taiwanese J. Math. 19(2): 535-552 (2015). DOI: 10.11650/tjm.19.2015.4719

Abstract

Given a sequence $\{D_m\}$ of bounded and convex domains in a complex Banach space, we describe the limiting behavior of the corresponding sequence $\{k_{D_m}\}$ of Kobayashi distances when the given sequence $\{D_m\}$ is either monotonic or convergent in the Hausdorff metric.

Citation

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Monika Budzyńska. Tadeusz Kuczumow. Simeon Reich. "LIMITING BEHAVIOR OF THE KOBAYASHI DISTANCE." Taiwanese J. Math. 19 (2) 535 - 552, 2015. https://doi.org/10.11650/tjm.19.2015.4719

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.32016
MathSciNet: MR3332312
Digital Object Identifier: 10.11650/tjm.19.2015.4719

Subjects:
Primary: 32A10‎ , 32F45 , 46G20 , 46T25

Keywords: Hausdorff metric , holomorphic mapping , Kobayashi distance , monotonic sequences of bounded and convex domains

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 2 • 2015
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