An analog of the hyperbolic metric generated by a Hilbert space with the Schwarz-Pick kernel

DOI10.1007/S10958-018-3692-5zbMath1481.46018OpenAlexW2790584010MaRDI QIDQ1709813

Ilya V. Videnskii

Publication date: 6 April 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3692-5

zbMATH Keywords

hyperbolic metricHilbert function spaceabstract Blaschke conditionSchwarz-Pick kernel

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Blaschke products (30J10)

Cites Work

• On an analog of the Blaschke product for a Hilbert space with the Nevanlinna-Pick kernel
• Complete Nevanlinna-Pick property of Dirichlet-type spaces
• Reproducing kernels and extremal functions in Dirichlet-type spaces
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