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