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Subjects
32-XX Several complex variables and analytic spaces
32Axx Holomorphic functions of several complex variables
32A18 Bloch functions, normal functions

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Bloch type spaces on the unit ball of a Hilbert space

Zhenghua Xu (2019)

Czechoslovak Mathematical Journal

We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch type space are presented.

Bloch-to-Hardy composition operators

Evgueni Doubtsov, Andrei Petrov (2013)

Open Mathematics

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.

Boundedness and compactness of an integral operator between $H^{\infty}$ and a mixed norm space on the polydisk.

Stević, Stevo (2009)

Sibirskij Matematicheskij Zhurnal

Currently displaying 1 – 3 of 3