Holomorphic invariance on bounded symmetric domains

DOI10.1515/crll.2000.047zbMath0956.32023OpenAlexW1990873712MaRDI QIDQ4488491

Pauline Mellon

Publication date: 5 July 2000

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2000.047

zbMATH Keywords

\(JB^*\)-tripleBergman operatorSchwarz-Pick Lemma

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (10)

Denjoy-Wolff theory for finite-dimensional bounded symmetric domains ⋮ Bloch spaces on bounded symmetric domains in complex Banach spaces ⋮ Horoballs and iteration of holomorphic maps on bounded symmetric domains ⋮ A Wolff theorem for finite rank bounded symmetric domains ⋮ Iteration of holomorphic maps on Lie balls ⋮ Linear invariance of locally biholomorphic mappings in the unit ball of a JB\(^\ast\)-triple ⋮ Angular derivatives on bounded symmetric domains ⋮ Composition operators on weighted spaces of holomorphic functions on \(JB^{*}\)-triples ⋮ Mean ergodic composition operators on spaces of holomorphic functions on a Banach space ⋮ Connected components in the space of composition operators on \(H^\infty\) functions of many variables

Cites Work

• Iteration of compact holomorphic maps on a Hilbert ball
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