Extremal holomorphic maps and the symmetrized bidisc

DOI10.1112/plms/pds049zbMath1267.30112arXiv1204.6517OpenAlexW2007014797MaRDI QIDQ4923028

Zinaida A. Lykova, N. J. Young, Jim Agler

Publication date: 5 June 2013

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

Full work available at URL: https://arxiv.org/abs/1204.6517

zbMATH Keywords

interpolationBlaschke productcomplex geodesic

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Moment problems and interpolation problems in the complex plane (30E05) Inner functions of one complex variable (30J05) Blaschke products (30J10)

Related Items (26)

Three-point Nevanlinna–Pick problem in the polydisc ⋮ A Schwarz lemma for the symmetrized polydisc via estimates on another family of domains ⋮ Finite Blaschke products and the construction of rational \(\Gamma\)-inner functions ⋮ Schwarz lemmas via the pluricomplex Green's function ⋮ The Schwarz lemma at the boundary of the symmetrized bidisc ⋮ Rational penta-inner functions and the distinguished boundary of the pentablock ⋮ Algebraic and geometric aspects of rational \(\Gamma\)-inner functions ⋮ Nevanlinna-Pick interpolation problem in the ball ⋮ Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc ⋮ Rigidity of proper holomorphic self-mappings of the pentablock ⋮ 3-extremal holomorphic maps and the symmetrized bidisc ⋮ Rational tetra-inner functions and the special variety of the tetrablock ⋮ A rich structure related to the construction of analytic matrix functions ⋮ Kähler submanifolds of the symmetrized polydisc ⋮ Coman conjecture for the bidisc ⋮ Interpolation by holomorphic maps from the disc to the tetrablock ⋮ Spectral sets and distinguished varieties in the symmetrized bidisc ⋮ Structure theorems for operators associated with two domains related to \(\mu \)-synthesis ⋮ On \(\Gamma_n\)-contractions and their conditional dilations ⋮ A Schwarz lemma for two families of domains and complex geometry ⋮ Characterizations of the symmetrized polydisc via another family of domains ⋮ Some Analysable Instances of μ-synthesis ⋮ Characterizations of some domains via Carathéodory extremals ⋮ A counterexample to the \varGamma -interpolation conjecture ⋮ (Weak)m-extremals andm-geodesics ⋮ A Schwarz lemma for the pentablock

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