Extremal disks and composition operators on convex domains in \(\mathbb{C}^ n\)

DOI10.1216/rmjm/1181072353zbMath0824.32006OpenAlexW2015770476MaRDI QIDQ1890806

Peter R. Mercer

Publication date: 15 November 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072353

zbMATH Keywords

Kobayashi distanceHardy spacesstrongly convex domain

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Linear operators on function spaces (general) (47B38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (2)

Compact composition operators between weighted Bergman spaces on convex domains in \(\mathbb{C}^n\) ⋮ Unnamed Item

Cites Work

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• Géodésiques complexes et points fixes d'applications holomorphes
• Iterates of holomorphic self-maps of the unit ball in \(C^ n\)
• The Lindelöf principle and the angular derivative in strongly convex domains
• Horospheres and iterates of holomorpic maps
• Common fixed points of commuting holomorphic maps
• Holomorphic invariants, normal forms, and the moduli space of convex domains
• Extension dans des classes de Hardy de fonctions holomorphes et estimations de type Mesures de Carleson pour l'équation \(\bar\partial\)
• On Boundedness of Composition Operators on H 2 (B 2 )
• SPECTRA OF COMPACT COMPOSITION OPERATORS ON HP(RN )
• La métrique de Kobayashi et la représentation des domaines sur la boule
• ON THE ANALYTIC CONTINUATION OF HOLOMORPHIC MAPPINGS
• Unbounded Composition Operators on H 2 (B 2 )
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

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