Optimal Domain of generalized Volterra operators
Complex Variables
2024-11-04 v1 Functional Analysis
Abstract
For g in BMOA, we consider the generalized Volterra operator T_g acting on Hardy spaces H^p. This article aims to study the largest space of analytic functions, which is mapped by T_g into the Hardy space H^p. We call this space the optimal domain of T_g 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.
Cite
@article{arxiv.2404.08323,
title = {Optimal Domain of generalized Volterra operators},
author = {Carlo Bellavita and Vasilis Daskalogiannis and Georgios Nikolaidis and Georgios Stylogiannis},
journal= {arXiv preprint arXiv:2404.08323},
year = {2024}
}
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