Invariant metrics on the symmetrized bidisc

DOI10.1080/17476933.2014.948543zbMath1319.32009OpenAlexW1984027501MaRDI QIDQ4982021

Maria Trybuła

Publication date: 23 March 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2014.948543

zbMATH Keywords

Bergman kernelCarathéodory metricBergman metricSchur polynomialssymmetrized bidisc

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45)

Related Items (7)

A geometric characterization of the symmetrized bidisc ⋮ Bergman metric on the symmetrized bidisk and its consequences ⋮ Nonuniqueness of Carathéodory extremal functions on the symmetrized bidisc ⋮ The Schwarz lemma at the boundary of the symmetrized bidisc ⋮ Kähler submanifolds of the symmetrized polydisc ⋮ Algebraic properties of Toeplitz operators on the symmetrized polydisk ⋮ Characterizations of some domains via Carathéodory extremals

Cites Work

• On automorphisms of the symmetrized bidisc
• The hyperbolic geometry of the symmetrized bidisc
• Proper holomorphic mappings, Bell's formula, and the Lu Qi-Keng problem on the tetrablock
• Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc
• A Schwarz Lemma for the Symmetrized Bidisc
• The two-by-two spectral Nevanlinna-Pick problem
• THE SYMMETRIZED BIDISC AND LEMPERT'S THEOREM
• The kobayashi metric for non-convex complex ellipsoids

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