A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains

Hidetaka Hamada and Gabriela Kohr

Mathematische Nachrichten, 2021, vol. 294, issue 11, 2151-2159

Abstract: Let BX be a bounded symmetric domain realized as the open unit ball of a finite dimensional JB*‐triple X. In this paper, we obtain a rigidity theorem at the boundary for holomorphic mappings from a balanced domain G in a complex Banach space E into BX. We also obtain a rigidity theorem at the boundary for holomorphic self‐mappings of BX. Our results give generalizations of the recent results obtained on the Euclidean unit ball or the unit polydisc in Cn.

Date: 2021
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https://doi.org/10.1002/mana.202100023

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