Displaying similar documents to “Sufficient conditions for univalence in ℂ n .”

Bloch-to-Hardy composition operators

Evgueni Doubtsov, Andrei Petrov (2013)

Open Mathematics

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Let φ be a holomorphic mapping between complex unit balls. We characterize those regular φ for which the composition operators C φ: f ↦ f ○ φ map the Bloch space into the Hardy space.

Holomorphic Bloch spaces on the unit ball in C n

A. V. Harutyunyan, Wolfgang Lusky (2009)

Commentationes Mathematicae Universitatis Carolinae

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This work is an introduction to anisotropic spaces of holomorphic functions, which have ω -weight and are generalizations of Bloch spaces on a unit ball. We describe the holomorphic Bloch space in terms of the corresponding L ω ∞ space. We establish a description of ( A p ( ω ) ) * via the Bloch classes for all 0 < p ≤ 1 .

Some remarks on I -faster convergent infinite series

Ladislav Matejíčka (2009)

Mathematica Bohemica

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A structure of terms of I -faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of I -faster convergent series with different types of their terms are proved. Some consequences are discussed.