Bloch-to-BMOA compositions on complex balls

DOI10.1090/S0002-9939-2012-11280-8zbMath1276.32003MaRDI QIDQ2846847

Evgueni Doubtsov

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bloch spaceBMOAcomposition operator

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Linear composition operators (47B33) Bloch functions, normal functions of several complex variables (32A18) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (10)

Bloch-to-Hardy composition operators ⋮ Reverse estimates in logarithmic Bloch spaces ⋮ Hyperbolic BMOA classes ⋮ Inner mappings, hyperbolic gradients and composition operators ⋮ Composition operators between Bloch and BMOA spaces on polydisks ⋮ Integral reverse estimates for logarithmic Bloch spaces in the ball ⋮ Weighted Bloch spaces and quadratic integrals ⋮ Composition operators mapping logarithmic Bloch functions into Hardy space ⋮ Some Problems in Fourier Analysis and Approximation Theory ⋮ Decomposition of the Laplacian and pluriharmonic Bloch functions

Cites Work

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• Composition operators on some Möbius invariant Banach spaces
• Spaces of Holomorphic Functions in the Unit Ball
• Bloch-to-BMOA compositions in several complex variables

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