On M-harmonic Bloch functions and their Carleson measures

DOI10.1017/S0017089500032602zbMath1054.32002MaRDI QIDQ4400166

Boo Rim Choe, Young Joo Lee

Publication date: 9 December 2001

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Carleson measure\({\mathcal M}\)-harmonic Bloch and little Bloch function

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Other generalizations of function theory of one complex variable (32A30)

Related Items (1)

Carleson measures and conformal self-mappings in the real unit ball

Cites Work

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• The Bergman space, the Bloch space, and commutators of multiplication operators
• \(\mathcal M\)-harmonic Besov \(p\)-spaces and Hankel operators in the Bergman space on the ball in \(\mathbb{C}^ n\)
• Bloch Functions in Several Complex Variables, I
• Bloch functions in several complex variables. II.
• Möbius invariant besov p-spaces and hankel operators in the bergman space on the ball in C ⁿ
• Projections, the Weighted Bergman Spaces, and the Bloch Space
• On M-Harmonic Bloch Space
• On little bloch space, its carleson measure, atomic decomposition and free interpolation

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