Integral-type operators between α-Bloch spaces and Besov spaces on the unit ball

摘要

Let H(B) denote the space of all holomorphic functions on the unit ball B⊂Cn. The boundedness and compactness of the following integral-type operatorsTg(f)(z)=∫01f(tz)Rg(tz)dttandLg(f)(z)=∫01Rf(tz)g(tz)dtt,z∈B,where g∈H(B) and Rh(z) is the radial derivative of h, between α-Bloch spaces and Besov spaces on the unit ball are characterized. The results regarding the case when these operators map α-Bloch spaces to Besov spaces are nontrivial generalizations of recent one-dimensional results by Li and the present author.