On multipliers on compact Lie groups
Functional Analysis
2013-07-31 v1 Analysis of PDEs
Representation Theory
Abstract
In this note we announce Lp multiplier theorems for invariant and non-invariant operators on compact Lie groups in the spirit of the well-known Hormander-Mikhlin theorem on Rn and its variants on tori Tn. Applications are given to the mapping properties of pseudo-differential operators on Lp-spaces and to a-priori estimates for non-hypoelliptic operators.
Cite
@article{arxiv.1303.4968,
title = {On multipliers on compact Lie groups},
author = {Michael Ruzhansky and Jens Wirth},
journal= {arXiv preprint arXiv:1303.4968},
year = {2013}
}
Comments
8 pages