Extended Cesàro operators between Bloch-type spaces in the unit ball of Cn ✩

In this paper, we characterize those holomorphic symbols ϕ in the unit ball of Cn for which the induced extended Cesàro operator Tϕ :Bω →Bμ (respectively, Bω,0→Bμ,0) is bounded or compact, where ω and μ are normal functions on [0, 1). In addition, we obtain some properties of those spaces Bω and Bω,0. © 2006 Elsevier Inc. All rights reserved.