A Boundary Schwarz Lemma for Holomorphic Mappings on the Polydisc

Citation:

Yang LIU,Zhihua CHEN,Yifei PAN.A Boundary Schwarz Lemma for Holomorphic Mappings on the Polydisc[J].Chinese Annals of Mathematics B,2018,39(1):9~16
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Authors:

Yang LIU; Zhihua CHEN;Yifei PAN

Foundation:

This work was supported by the National Science Foundation of China (Nos.11671361, 11571256).
Abstract: The authors prove a general Schwarz lemma at the boundary for holomorphic mappings from the polydisc to the unit ball in any dimensions. For the special case of one complex variable, the obtained results give the classic boundary Schwarz lemma.

Keywords:

Boundary Schwarz lemma, Holomorphic mapping, Polydisc, Unit ball

Classification:

32H02, 30C80
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