This paper aims at studying the boundedness and compactness of weighted composition operator between spaces of analytic functions. We characterize boundedness and compactness of the weighted composition operator from the Hardy spaces to the Zygmund type spaces Z = { ∈ ( ) : sup ∈ (1 − | | 2 ) | ( )| < ∞} and the little Zygmund type spaces Z ,0 in terms of function theoretic properties of the symbols and .

In this note, we study the boundedness and compactness of integral operators I g and T g from analytic Morrey spaces to Bloch space. Furthermore, the norm and essential norm of those operators are given.Denote L 2,λ ( ) the analytic M orrey spaces of all analytic functions f ∈ H 2 on D such that sup I⊂∂

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