Noncommutative harmonic analysis on semigroups
Functional Analysis
2017-03-01 v1
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].
Cite
@article{arxiv.1702.08746,
title = {Noncommutative harmonic analysis on semigroups},
author = {Yong Jiao and Maofa Wang},
journal= {arXiv preprint arXiv:1702.08746},
year = {2017}
}
Comments
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