Optimal Domain of generalized Volterra operators
Abstract
For g in BMOA, we consider the generalized Volterra operator Tg acting on Hardy spaces Hp. This article aims to study the largest space of analytic functions, which is mapped by Tg into the Hardy space Hp. We call this space the optimal domain of Tg and we describe its structural properties. Motivation for this comes from the work of G. Curbera and W. Ricker who studied the optimal domain of the classical Ces\'aro operator.
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