Inner functions in the hyperbolic little Bloch class

DOI10.1307/mmj/1030132085zbMath0976.30018OpenAlexW1980310393MaRDI QIDQ1590890

Wayne Smith

Publication date: 1 January 2001

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

Full work available at URL: https://doi.org/10.1307/mmj/1030132085

zbMATH Keywords

composition operatorhyperbolic Bloch and little Bloch class

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Linear composition operators (47B33)

Related Items (18)

Convergence of linear combinations of iterates of an inner function ⋮ Holomorphic functions and quasiconformal mappings with smooth moduli ⋮ The boundary of a smooth set has full Hausdorff dimension ⋮ Properties of superposition operators acting between \(\mathcal{B}_\mu^\ast\) and \(Q_K^\ast\) ⋮ Inner mappings, hyperbolic gradients and composition operators ⋮ Lipschitz continuous and compact composition operators in hyperbolic classes ⋮ Essential norm estimates for composition operators on BMOA ⋮ Weakly compact composition operators on VMO. ⋮ Stability of admissible functions ⋮ Little Bloch functions, symmetric pluriharmonic measures, and Zygmund's dichotomy ⋮ Integral reverse estimates for logarithmic Bloch spaces in the ball ⋮ Weighted Bloch spaces and quadratic integrals ⋮ Norm-attaining composition operators on the Bloch spaces ⋮ Symmetric and Zygmund measures in several variables. ⋮ Certain classes of operators on some weighted hyperbolic function spaces ⋮ Metric spaces of bounded analytical functions ⋮ WEIGHTED COMPOSITION OPERATORS ON H^∞ ∩ o ⋮ Topological structures of the sets of composition operators on the Bloch spaces

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