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

DOI10.2140/pjm.2019.302.309zbMath1436.32063OpenAlexW2987607582MaRDI QIDQ2305373

Xiaomin Tang, Jian Fei Wang, Tai Shun Liu

Publication date: 10 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2019.302.309

zbMATH Keywords

holomorphic mappingboundary Schwarz lemmaclassical domain of type IV

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (4)

A Schwarz lemma for weakly Kähler-Finsler manifolds ⋮ 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 \(\mathbb{C}^n\)

Cites Work

• Unnamed Item
• Schwarz lemma at the boundary of strongly pseudoconvex domain in \(\mathbb C^n\)
• Iteration of holomorphic maps on Lie balls
• Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications
• Schwarz lemma at the boundary of the unit polydisk in \(\mathbb C^n\)
• Distortion theorems on the Lie ball \({\mathcal R}_{\mathrm{IV}} (n)\) in \(\mathbb C^{n }\)
• Schwarz's lemma for circle packings
• A generalization of the Cauchy-Hua integral formula on the Lie ball
• Some applications of Bell's theorem to weakly pseudoconvex domains
• Growth theorem of convex mappings on bounded convex circular domains
• Schwarz lemma at the boundary on the classical domain of type \(\mathcal{II}\)
• A boundary Schwarz lemma on the classical domain of type \(\mathcal I\)
• Distortion theorems for biholomorphic convex mappings on bounded convex circular domains
• Schwarz lemma at the boundary and rigidity property for holomorphic mappings on the unit ball of ℂⁿ
• Volume integral means of holomorphic functions
• The Schwarz lemma at the boundary
• On Bloch's Constant
• A General Schwarz Lemma for Kahler Manifolds
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• 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
• Bounded Analytic Functions
• An Extension of Schwarz's Lemma
• Normal families of holomorphic mappings

This page was built for publication: Schwarz lemma at the boundary on the classical domain of type \(\mathcal{IV}\)