Compact Cesàro Operators from Spaces H(p,q,u) to H(p,q,v)

Abstract

Let μ and ν be normal functions and let T g be the extended Cesaso operator in terms of the symbol g. In this paper, we will characterize those g so that T g is bounded (or compact) from mixed norm spaces H(p, q, μ) to H(p, q, ν) in the unit ball of C n . Furthermore, as applications, some analogous results are also given on weighted Bergman spaces and Dirichlet type spaces.