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Let H(B) be the class of all holomorphic functions on the unit ball B in Cn . For g ∈ H(B) with g(0) = 0 and φ a holomorphic self-map of B , the integral-type operator P φ , recently introduced by S. Stević, is defined by

New estimates of essential norm of an integral-type operator between Bloch-type spaces on the unit ball