Noncommutative harmonic analysis on semigroups
arXiv:1702.08746
Abstract
In this paper we obtain some noncommutative multiplier theorems and maximal inequalities on semigroups. As applications, we obtain the corresponding individual ergodic theorems. Our main results extend some classical results of Stein and Cowling on one hand, and simplify the main arguments of Junge-Le Merdy-Xu's related work [15].
16 pages;accepted for publication in Indiana University Math. Journal. The final version is available at http://www.iumj.indiana.edu/IUMJ/Preprints/6020.pdf