Schwarz lemma at the boundary on the classical domain of type \(\mathcal{II}\)

DOI10.1007/s12220-017-9880-6zbMath1401.32013OpenAlexW2687918790WikidataQ124802338 ScholiaQ124802338MaRDI QIDQ1651383

Xiaomin Tang, Tai Shun Liu, Wen-Jun Zhang

Publication date: 12 July 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-017-9880-6

zbMATH Keywords

holomorphic mappingsSchwarz lemma at the boundaryclassical domain of type \(\mathcal {II}\)

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Holomorphic mappings and correspondences (32H99) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (8)

A Schwarz lemma at the boundary using the Julia-Wolff-Carathéodory type condition on finite dimensional irreducible bounded symmetric domains ⋮ A Schwarz lemma for weakly Kähler-Finsler manifolds ⋮ A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings ⋮ Schwarz lemma at the boundary on the classical domain of type \(\mathcal{III}\) ⋮ A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains ⋮ Schwarz lemma at the boundary for holomorphic and pluriharmonic mappings between \(p\)-unit balls ⋮ The boundary Schwarz Lemma and the rigidity theorem on Reinhardt domains \(B_p^n\) of \(\mathbb{C}^n\) ⋮ Schwarz lemma at the boundary on the classical domain of type \(\mathcal{IV}\)

Cites Work

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• Schwarz's lemma for circle packings
• Some applications of Bell's theorem to weakly pseudoconvex domains
• A preservation principle of extremal mappings near a strongly pseudoconvex point and its applications
• Les fonctions de deux variables complexes et le problème de la représentation analytique
• Distortion theorems for biholomorphic convex mappings on bounded convex circular domains
• Volume integral means of holomorphic functions
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• Decomposition theorem of normalized biholomorphic convex mappings
• A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
• The Schwarz Lemma: Rigidity and Dynamics

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