Open Access
2014 THE WEIGHTED POINCARÉ DISTANCE IN THE HALF PLANE
Jisoo Byun, Seung Min Baek, Hong Rae Cho, Han-Wool Lee
Taiwanese J. Math. 18(6): 1775-1789 (2014). DOI: 10.11650/tjm.18.2014.4254

Abstract

In this paper we introduce the weighted Poincaré distance and the induced distance by the weighted Bloch type space. We prove that the weighted Poincaré distance is identical to the inner distance generated by the induced distance.

Citation

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Jisoo Byun. Seung Min Baek. Hong Rae Cho. Han-Wool Lee. "THE WEIGHTED POINCARÉ DISTANCE IN THE HALF PLANE." Taiwanese J. Math. 18 (6) 1775 - 1789, 2014. https://doi.org/10.11650/tjm.18.2014.4254

Information

Published: 2014
First available in Project Euclid: 21 July 2017

zbMATH: 1357.30031
MathSciNet: MR3284031
Digital Object Identifier: 10.11650/tjm.18.2014.4254

Subjects:
Primary: 30F40 , 30H30

Keywords: induced distance , inner distance , weighted Bloch space , weighted Poincaré distance

Rights: Copyright © 2014 The Mathematical Society of the Republic of China

Vol.18 • No. 6 • 2014
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