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SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL

Part of: Holomorphic mappings and correspondences

Published online by Cambridge University Press:  04 September 2017

DAVID KALAJ
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 Bn and Bm in corresponding complex spaces. We also prove a Schwarz-Pick type inequality for pluri-harmonic functions.

MSC classification

Primary: 32H04: Meromorphic mappings
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 60 , Issue 1 , January 2018 , pp. 219 - 224
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

References

REFERENCES

1. Chen, Sh. and Rasila, A., Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk, Illinois J. Math. 58 (4) (2014), 1015–1024.CrossRefGoogle Scholar
2. Kalaj, D. and Markovic, M., Norm of the Bergman projection, Math. Scand. 115 (1) (2014), 143–160.CrossRefGoogle Scholar
3. Kalaj, D. and Vuorinen, M., On harmonic functions and the Schwarz lemma, Proc. Am. Math. Soc. 140 (1) (2012), 161–165.Google Scholar
4. Pavlović, M., A Schwarz lemma for the modulus of a vector-valued analytic function, Proc. Amer. Math. Soc. 139 (3) (2011), 969–973.Google Scholar
5. Perälä, A., Bloch space and the norm of the Bergman projection, Ann. Acad. Sci. Fenn., Math. 38 (2) (2013), 849–853.Google Scholar
6. Rudin, W., Function theory of the unit ball in C n (Springer, New York, 1980).Google Scholar