Let 0 ≤ q < ∞. For each f in the weighted Hardy-Orlicz space HΦ,q we show that d fr Φ,q dr grows at most like o(1/1 − r) as r → 1. Mathematics Subject Classification 2010: 30H10, 46E10, 30D55.
Abstract. We characterize the boundedness and compactness of the weighted composition operator acting from the weighted Bergman space A p (σ ) to the Zygmund-type space Z ν , where σ is an admissible weight and ν is a normal weight. Some upper and lower bounds for the norm and essential norm of the operator are also given.Mathematics subject classification (2010): Primary 47B33, 46E10; Secondary 30D55.
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