arXiv subjects
Publications and source records attributed to Amir H. Sanatpour.
We give different types of new characterizations for the boundedness and essential norms of generalized weighted composition operators between Zygmund type spaces. Consequently, we obtain new characterizations for the compactness of such operators.
We characterize boundedness and compactness of the classical Volterra operator $T_g \colon H_{v_α}^{\infty} \to H^{\infty}$ induced by a univalent function $g$ for standard weights $v_α$ with $0 \leq α< 1$, partly answering an open problem posed by A. Anderson, M. Jovovic and W. Smith. We also study boundedness, compactness and weak compactness of the generalized Volterra operator $T_g^φ$ mapping between Banach spaces of analytic functions on the unit disc satisfying certain general conditions.