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On an integral-type operator from Privalov spaces to Bloch-type spaces

Xiangling Zhu (2011)

Annales Polonici Mathematici

Let H(B) denote the space of all holomorphic functions on the unit ball B of ℂⁿ. Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0) = 0. We study the integral-type operator C φ g f ( z ) = 0 1 f ( φ ( t z ) ) g ( t z ) d t / t , f ∈ H(B). The boundedness and compactness of C φ g from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied

On dense ideals in spaces of analytic functions

Mihai Putinar (1994)

Annales de l'institut Fourier

One proves the density of an ideal of analytic functions into the closure of analytic functions in a L p ( μ ) -space, under some geometric conditions on the support of the measure μ and the zero variety of the ideal.

On M -Bloch functions.

Jevtić, Miroljub, Pavlović, Miroslav (1993)

Publications de l'Institut Mathématique. Nouvelle Série

On spaces of holomorphic functions in ℂⁿ

Diana D. Jiménez S., Lino F. Reséndis O., Luis M. Tovar S. (2014)

Banach Center Publications

Following the line of Ouyang et al. (1998) to study the p spaces of holomorphic functions in the unit ball of ℂⁿ, we present in this paper several results and relations among p ( ) , the α-Bloch, the Dirichlet p and the little p , 0 spaces.

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