The q−Carleson measures for A p ω are characterized in terms of a neat geometric condition involving Carleson block. Some equivalent characterizations for A p ω are obtained by using the radial derivative and admissible approach regions. The boundedness and compactness of Volterra integral operator T g : A p ω → A q ω are also investigated in this paper with 0 < p ≤ q < ∞, where

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In this paper, we give some estimates of the essential norm for generalized weighted composition operators from the Bloch space to the Zygmund space. Moreover, we give a new characterization for the boundedness and compactness of the operator.

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