Composition operators between Bloch and BMOA spaces on polydisks

DOI10.1007/s10958-018-3694-3zbMath1482.47041OpenAlexW2791835474MaRDI QIDQ1709815

Evgueni Doubtsov

Publication date: 6 April 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3694-3

zbMATH Keywords

Bloch spacecomposition operatorpolydiskssmall BMOA space

Mathematics Subject Classification ID

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

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• Bounded mean oscillation of Bloch pull-backs
• Bounded mean oscillation on the polydisk
• Characterizations of bounded mean oscillation on the polydisk in terms of Hankel operators and Carleson measures
• Two distinguished subspaces of product BMO and Nehari-AAK theory for Hankel operators on the torus
• Hyperbolic \(g\)-function and Bloch pullback operators
• Bloch-to-BMOA compositions on complex balls
• Bloch Functions in Several Complex Variables, I
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
• On Analytic Functions of Bergman BMO in the Ball
• Bloch-to-BMOA pullbacks on the disk
• COMPOSITION OPERATORS MAPPING INTO THE Qp SPACES
• Composition operators on some Möbius invariant Banach spaces
• Spaces of Holomorphic Functions in the Unit Ball

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