Lp Fourier multipliers on compact Lie groups
Functional Analysis
2015-10-16 v3 Analysis of PDEs
Representation Theory
Abstract
In this paper we prove 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. We also give applications to a-priori estimates for non-hypoelliptic operators. Already in the case of tori we get an interesting refinement of the classical multiplier theorem.
Cite
@article{arxiv.1102.3988,
title = {Lp Fourier multipliers on compact Lie groups},
author = {Michael Ruzhansky and Jens Wirth},
journal= {arXiv preprint arXiv:1102.3988},
year = {2015}
}
Comments
22 pages; minor corrections