Geometry of quasi-circular domains and applications to tetrablock

DOI10.1090/S0002-9939-2010-10493-8zbMath1211.32012arXiv0908.3249MaRDI QIDQ3082323

Łukasz Kosiński

Publication date: 10 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3249

zbMATH Keywords

proper holomorphic mappingsgroup of automorphismsShilov boundarytetrablockquasi-circular domains

Mathematics Subject Classification ID

Related Items (16)

Nevanlinna-Pick problem and uniqueness of left inverses in convex domains, symmetrized bidisc and tetrablock ⋮ Bergman Kernel in Complex Analysis ⋮ The Lempert theorem and the tetrablock ⋮ Geometric properties of the tetrablock ⋮ Proper holomorphic mappings of quasi-balanced domains in \(\mathbb{C}^3\) ⋮ On automorphisms of quasi-circular domains fixing the origin ⋮ Proper holomorphic mappings between symmetrized ellipsoids ⋮ Automorphisms of normal quasi-circular domains ⋮ Rigidity of proper holomorphic self-mappings of the pentablock ⋮ The group of automorphisms of the pentablock ⋮ Proper holomorphic self-maps of quasi-balanced domains ⋮ Holomorphic mappings preserving Minkowski functionals ⋮ Structure theorems for operators associated with two domains related to \(\mu \)-synthesis ⋮ A note on the smoothness of the Minkowski function ⋮ Geometric properties of domains related to \(\mu\)-synthesis ⋮ A model theory for operators associated with a domain related to \(\mu\)-synthesis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rigidity of proper holomorphic mappings between nonequidimensional bounded symmetric domains
• Local characterization of holomorphic automorphisms of Siegel domains
• Analytic hypoellipticity of the (partial-d-bar)-Neumann problem and extendability of holomorphic mappings
• Geometry of the symmetrized polydisc
• Proper holomorphic mappings between circular domains
• Nonexistence of proper holomorphic maps between certain classical bounded symmetric domains
• A Schwarz lemma for a domain related to \(\mu\)-synthesis
• Rigidity of proper holomorphic mappings between equidimensional bounded symmetric domains
• The symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains
• The automorphism group of the tetrablock
• Schwarz lemma for the tetrablock
• La métrique de Kobayashi et la représentation des domaines sur la boule
• Holomorphic Maps that Extend to Automorphisms of a Ball
• -convex domains with C²boundary

This page was built for publication: Geometry of quasi-circular domains and applications to tetrablock