On an integral-type operator from ω-Bloch spaces to μ-Zygmund spaces

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Let H(B) denote the space of all holomorphic functions on the unit ball B⊂Cn. We study the boundedness and compactness of the following integral-type operatorPg(f)(z)=∫01f(tz)g(tz)dtt,f∈H(B),z∈B,where g∈H(B) and g(0)=0, from ω-Bloch spaces to μ-Zygmund spaces.

论文关键词:Integral-type operator,ω-Bloch space,μ-Zygmund space,Boundedness,Compactness

论文评审过程:Available online 11 January 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2009.12.070