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

Let H(B) denote the space of all holomorphic functions on the unit ball B subset of C-n. This paper investigates the following integral-type operator with symbol g is an element of H(B) T-g(f) (z) = integral(1)(0) f(tz) Rg (tz) dt/t, f is an element of H(B), z is an element of B, where Rg(z) = Sigma(n)(j-1) z(j) partial derivative g/partial derivative z(j) (z) is the radial derivative of g. The boundedness and compactness of the operator T-g from Bloch-type spaces to Zygmund-type spaces are studied. (C) 2009 Elsevier Inc. All rights reserved.