A boundary Schwarz lemma for mappings from the unit polydisc to irreducible bounded symmetric domains

Hidetaka Hamada and Gabriela Kohr

Mathematische Nachrichten, 2020, vol. 293, issue 7, 1345-1351

Abstract: In this paper, we obtain a boundary Schwarz lemma for C1 (pluriharmonic, holomorphic) mappings from the unit polydisc Un in Cn to irreducible bounded symmetric domains realized as the unit ball BX of an N‐dimensional simple JB*‐triple X. In particular, we obtain a version of the boundary Schwarz lemma for C1 (pluriharmonic, holomorphic) mappings from Un into the Euclidean unit ball BN in CN. These results are generalizations of recent results regarding boundary Schwarz lemma in higher dimensions.

Date: 2020
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