A boundary Schwarz lemma for holomorphic mappings on the polydisc

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

References

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