Extremal holomorphic maps in special classes of domains

DOI10.2422/2036-2145.201401_003zbMath1351.30020arXiv1401.1657OpenAlexW2963485199MaRDI QIDQ2809283

Włodzimierz Zwonek, Łukasz Kosiński

Publication date: 27 May 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1657

zbMATH Keywords

tetrablocksymmetrized bidiscclassical Cartan domains\(m\)-complex geodesics\(m\)-extremalsweak \(m\)-extremals

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (12)

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 ⋮ Algebraic and geometric aspects of rational \(\Gamma\)-inner functions ⋮ Nevanlinna-Pick interpolation problem in the ball ⋮ 3-extremal holomorphic maps and the symmetrized bidisc ⋮ Rational tetra-inner functions and the special variety of the tetrablock ⋮ Coman conjecture for the bidisc ⋮ Interpolation by holomorphic maps from the disc to the tetrablock ⋮ Intrinsic directions, orthogonality, and distinguished geodesics in the symmetrized bidisc ⋮ On \(\Gamma_n\)-contractions and their conditional dilations ⋮ A Schwarz lemma for two families of domains and complex geometry

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