L^p Fourier multipliers on compact Lie groups
File(s)
Published version
Author(s)
Ruzhansky, M
Wirth, J
Type
Journal Article
Abstract
In this paper we prove Lp Fourier multiplier theorems for invariant and also non-invariant operators on compact Lie groups in the spirit of the well-known Hörmander–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.
Date Issued
2015-03-08
Citation
Mathematische Zeitschrift, 2015
ISSN
1432-1823
Publisher
Springer Verlag
Start Page
621
End Page
642
Journal / Book Title
Mathematische Zeitschrift
Volume
280
Issue
3
Copyright Statement
© The Author(s) 2015. This article is published with open access at Springerlink.com. This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/G007233/1
Subjects
Science & Technology
Physical Sciences
Mathematics
Multipliers
Compact Lie groups
Pseudo-differential operators
Invariant operators
Functional analysis
Analysis of PDEs
Representation theory
Publication Status
Published