Hyperbolic Hardy Classes and Logarithmic Bloch Spaces

DOI10.1007/978-3-319-27466-9_3zbMath1356.32005OpenAlexW2344073495MaRDI QIDQ2813534

Evgueni Doubtsov

Publication date: 24 June 2016

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27466-9_3

zbMATH Keywords

Hardy spacescomposition operatorslogarithmic Bloch spacesholomorphic functions on the ball

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (1)

Composition operators mapping logarithmic Bloch functions into Hardy space

Cites Work

• Bloch-to-Hardy composition operators
• Reverse estimates in growth spaces
• Extended Cesàro operators between Bloch-type spaces in the unit ball of \(\mathbf {C}^{n}\)
• Maximal and area integral characterizations of Hardy-Sobolev spaces in the unit ball of \({\mathbb{C}}^ n\)
• Weighted Bloch spaces and quadratic integrals
• Characterizations of the hyperbolic Nevanlinna class in the ball
• Hyperbolic Hardy class $H^1$
• 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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