Abstract
Let H ( B ) denote the space of all holomorphic functions on the unit ball B ⊂ C n . The boundedness and compactness of the following integral-type operators T g ( f ) ( z ) = ∫ 0 1 f ( tz ) R g ( tz ) dt t and L g ( f ) ( z ) = ∫ 0 1 R f ( tz ) g ( tz ) dt t , z ∈ B , where g ∈ H ( B ) and R h ( z ) is the radial derivative of h, between α-Bloch spaces and Besov spaces on the unit ball are characterized. The results regarding the case when these operators map α-Bloch spaces to Besov spaces are nontrivial generalizations of recent one-dimensional results by Li and the present author.
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