On a vector-valued Hopf-Dunford-Schwartz lemma
Functional Analysis
2012-02-28 v1
Abstract
In this paper, we state as a conjecture a vector-valued Hopf-Dunford-Schwartz lemma and give a partial answer to it. As an application of this powerful result, we prove some Fe fferman-Stein inequalities in the setting of Dunkl analysis where the classical tools of real analysis cannot be applied.
Cite
@article{arxiv.1202.5838,
title = {On a vector-valued Hopf-Dunford-Schwartz lemma},
author = {Stéphane Charpentier and Luc Deleaval},
journal= {arXiv preprint arXiv:1202.5838},
year = {2012}
}