On operator Pφg from the logarithmic Bloch-type space to the mixed-norm space on the unit ball

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摘要

The boundedness and compactness of the following recently introduced, by this author, integral-type operatorPφgf(z)=∫01f(φ(tz))g(tz)dtt,z∈B,where φ is a holomorphic self-map of the unit ball B in Cn and g is a holomorphic function on B such that g(0)=0, from logarithmic Bloch-type spaces to mixed-norm spaces on B, are studied in this paper.

论文关键词:Integral-type operator,Boundedness,Compactness,Unit ball,Logarithmic Bloch-type space,Mixed-norm space

论文评审过程:Available online 4 January 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2009.12.048