Bloch-to-Hardy composition operators

DOI10.2478/s11533-013-0229-5zbMath1272.32001OpenAlexW2082997072MaRDI QIDQ352712

Andrei N. Petrov, Evgueni Doubtsov

Publication date: 5 July 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0229-5

zbMATH Keywords

Hardy spaceBergman spaceBloch spacecomposition operatorhyperbolic Hardy class

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Linear composition operators (47B33) Bergman spaces of functions in several complex variables (32A36) Bloch functions, normal functions of several complex variables (32A18)

Related Items (2)

Composition operators mapping logarithmic Bloch functions into Hardy space ⋮ Hyperbolic Hardy Classes and Logarithmic Bloch Spaces

Cites Work

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• Hyperbolic BMOA classes
• Bounded mean oscillation of Bloch pull-backs
• Growth spaces on circular domains: Composition operators and Carleson measures
• Composition operators on the Bloch space of several complex variables
• Maximal and area integral characterizations of Hardy-Sobolev spaces in the unit ball of \({\mathbb{C}}^ n\)
• Bloch-Bergman pullbacks with logarithmic weights
• Hyperbolic \(g\)-function and Bloch pullback operators
• Bloch-to-BMOA compositions on complex balls
• Hyperbolic Hardy class $H^1$
• Spaces of Holomorphic Functions in the Unit Ball
• Hyperbolic mean growth of bounded holomorphic functions in the ball
• Composition of Blochs with bounded analytic functions
• Bloch-to-BMOA compositions in several complex variables

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