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

DOI: 10.1155/2010/214762

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Abstract:

Let denote the open unit ball of ?. For a holomorphic self-map of and a holomorphic function in with (0)=0, we define the following integral-type operator: ∫()=10?(())()(/), ∈. 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 ?,0 and ?,0.

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