On a vector-valued Hopf-Dunford-Schwartz lemma

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

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.

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