On an integral-type operator from the Bloch space to mixed norm spaces

Hao Li

Applied Mathematics and Computation, 2016, vol. 273, issue C, 624-630

Abstract: Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0)=0, where H(B) is the space of all holomorphic functions on the unit ball B of Cn. In this paper we investigate the following integral-type operator Dφgf(z)=∫01Df(φ(tz))g(tz)dtt,f∈H(B),where Df is the fractional derivative of f ∈ H(B). The boundedness and compactness of the operators Dφg between mixed norm spaces and Bloch spaces in the unit ball are studied.

Keywords: Integral-type operator; Mixed norm space; Bloch space; Boundedness; Compactness (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:624-630

DOI: 10.1016/j.amc.2015.10.022

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