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SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL

Published online by Cambridge University Press:  04 September 2017

DAVID KALAJ*
Affiliation:
Faculty of Natural Sciences and Mathematics, University of Montenegro, George Washington nr 18, 81000 Podgorica, Montenegro e-mail: davidkalaj@gmail.com
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Abstract

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In this note, we establish a Schwarz–Pick type inequality for holomorphic mappings between unit balls B n and B m in corresponding complex spaces. We also prove a Schwarz-Pick type inequality for pluri-harmonic functions.

MSC classification

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017