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For an analytic selfmap φ of the open unit disc D and an analytic function g on D , the Li-Stević integral type operator C φ is given by ( C φ f ) (z) = ∫ z 0 f ′(φ(ξ ))g(ξ )dξ . We give essential norm estimates of the operator between Zygmund type spaces. We also apply our approach in the case of Bloch type spaces. Mathematics subject classification (2010): 47B38, 30H30.

Estimates of essential norm of the Li-Stević integral type operator between Zygmund type spaces