A note about Volterra operators on weighted Banach spaces of entire functions
Functional Analysis
2014-12-10 v1
Abstract
We characterize boundedness, compactness and weak compactness of Volterra operators acting between different weighted Banach spaces of entire functions with weighted sup-norms in terms of the symbol g. Thus we complement recent work by Bassallote, Contreras, Hern\'andez-Mancera, Mart\'in and Paul for spaces of holomorphic functions on the disc and by Constantin and Pel\'aez for reflexive weighted Fock spaces.
Keywords
Cite
@article{arxiv.1412.2872,
title = {A note about Volterra operators on weighted Banach spaces of entire functions},
author = {José Bonet and Jari Taskinen},
journal= {arXiv preprint arXiv:1412.2872},
year = {2014}
}
Comments
13 pages