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ON AN INTEGRAL OPERATOR FROM THE ZYGMUND SPACE TO THE BLOCH-TYPE SPACE ON THE UNIT BALL

ON AN INTEGRAL OPERATOR FROM THE ZYGMUND SPACE TO THE BLOCH-TYPE SPACE ON THE UNIT BALL

Abstract In this paper, we introduce an integral operator on the unit ball $\BB\subset\CC^n$ . The boundedness and compactness of the operator from the Zygmund space to the Bloch-type space ${\mathcal B}_\mu(\BB)$ or the little Bloch-type space ${\mathcal B}_{\mu,0}(\BB)$ are investigated.