On an Integral-Type Operator Acting between Bloch-Type Spaces on the Unit Ball

Stevo Stević and Sei-Ichiro Ueki

Abstract and Applied Analysis, 2010, vol. 2010, 1-14

Abstract:

Let denote the open unit ball of . For a holomorphic self-map of and a holomorphic function in with , we define the following integral-type operator: , . Here denotes the radial derivative of a holomorphic function in . We study the boundedness and compactness of the operator between Bloch-type spaces and , where is a normal weight function and is a weight function. Also we consider the operator between the little Bloch-type spaces and .

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:214762

DOI: 10.1155/2010/214762

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