We characterize boundedness and compactness of the classical Volterra operator Tg : H ∞ vα → H ∞ induced by a univalent function g for standard weights vα with 0 ≤ 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 ϕ g mapping between Banach spaces of analytic functions on the unit disc satisfying certain general conditions.2010 Mathematics Subject Classification. Primary 47B38, Secondary 46B50.

No abstract

No abstract

We investigate closed range properties of certain integral-type operators introduced by Li and Stević. The operators are considered between Bloch-type spaces. We also give the essential norm of such operators. Our results are given in a general setting and we also give the essential norm of Li-Stević integral-type operators between other well-known spaces of analytic functions.

No abstract