Geodesic
SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL
Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 219-224

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
KALAJ, DAVID. SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL. Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 219-224. doi: 10.1017/S0017089517000052
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[1] 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. Google Scholar | DOI

[2] 2. Kalaj, D. and Markovic, M., Norm of the Bergman projection, Math. Scand. 115 (1) (2014), 143–160. Google Scholar | DOI

[3] 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] 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] 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] 6. Rudin, W., Function theory of the unit ball in n (Springer, New York, 1980). Google Scholar

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