On the multiplication operator on analytic function spaces

Document Type: Regular Paper

Author

Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran

Abstract

Let  be a Hilbert space of functions analytic on a plane domain  such that for every  in  the functional of evaluation at  is bounded. Assume further that  contains the constants and admits multiplication by the independent variable , , as a bounded operator. We give sufficient conditions for  to be reflexive for all positive integers .

Keywords