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

Let H(B) denote the space of all holomorphic functions on the unit ball B of Cn and Rh(z)=∑j=1nzj∂h∂zj(z) the radial derivative of h. In this paper we study the boundedness and compactness of the following integral operator:Tg(f)(z)=∫01f(tz)Rg(tz)dtt,f∈H(B),z∈B, from iterated logarithmic Bloch spaces to Zygmund-type spaces.