Extended Cesaro operators between generalized Besov spaces and Bloch type spaces in the unit ball

Let g be a holomorphic of the unit ball B in the n-dimensional complex space, and denote by T-g the extended Cesaro operator with symbol g. Let 0 < p < +infinity, -n - 1 < q < +infinity, q > -1 and alpha > 0, starting with a brief introduction to well known results about Cesaro operator, we investigate the boundedness and compactness of T-g between generalized Besov space B(p, q) and alpha- Bloch space B-alpha in the unit ball, and also present some necessary and sufficient conditions.