Abstract
Let denote the space of all holomorphic functions on the unit ball . This paper investigates the following integral-type operator with symbol , , , , where is the radial derivative of . We characterize the boundedness and compactness of the integral-type operators from general function spaces to Zygmund-type spaces , where is normal function on .
Highlights
Let B be the open unit ball of Cn, let ∂B be its boundary, and let H B be the family of all holomorphic functions on B
We quote several auxiliary results which will be used in the proofs of our main results
The following lemma is according to Zhang 14
Summary
Let B be the open unit ball of Cn, let ∂B be its boundary, and let H B be the family of all holomorphic functions on B. A closed set K in Zμ,[0] is compact if and only if it is bounded and satisfies lim sup μ |z| R2f z 0.
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