Integral-type operators from Bloch-type spaces to Zygmund-type spaces

摘要

Let H(B) denote the space of all holomorphic functions on the unit ball B⊂Cn. This paper investigates the following integral-type operator with symbol g∈H(B)Tg(f)(z)=∫01f(tz)Rg(tz)dtt,f∈H(B),z∈B,where Rg(z)=∑j=1nzj∂g∂zj(z) is the radial derivative of g. The boundedness and compactness of the operator Tg from Bloch-type spaces to Zygmund-type spaces are studied.