Semigroups of holomorphic self-maps of domains and one-parameter semigroups of isometries of Bergman spaces

DOI10.1307/MMJ/1060013198zbMath1055.47039OpenAlexW2057932721MaRDI QIDQ1411309

William E. Hornor

Publication date: 27 October 2003

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1060013198

zbMATH Keywords

holomorphic mapsBergman spacescomposition operatorsone-parameter semigroupsisometries

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear composition operators (47B33) Bergman spaces of functions in several complex variables (32A36)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of isometries into \(H^p\)
• The infinitesimal generators of semigroups of holomorphic maps
• Semigroups of analytic functions and composition operators
• Composition operators and classical function theory
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• Semigroups of composition operators in Bergman spaces
• Isometries of Bergman Spaces over Bounded Runge Domains
• One-Parameter Semigroups for Linear Evolution Equations
• Unbounded Composition Operators on H 2 (B 2 )
• Hermitian Operators and One-Parameter Groups of Isometries in Hardy Spaces
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