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| A Boundary Schwarz Lemma for Holomorphic Mappings on the Polydisc |
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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 |
| Page view： 1683
Net amount： 1469 |
Authors： |
Yang LIU; Zhihua CHEN;Yifei PAN |
Foundation： |
This work was supported by the National Science
Foundation of China (Nos.11671361, 11571256). |
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| 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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