On an integral-type operator from logarithmic Bloch-type spaces to mixed-norm spaces on the unit ball

摘要

Let H(B) denote the space of all holomorphic functions on the open unit ball B of Cn and g∈H(B). We characterize the boundedness and compactness of the following integral-type operatorLgf(z)=∫01Rf(tz)g(tz)dtt,z∈B,where Rf is the radial derivative of function f, from logarithmic Bloch-type spaces to mixed-norm spaces on the unit ball.