# On multipliers on compact Lie groups

@article{Ruzhansky2013OnMO,
title={On multipliers on compact Lie groups},
author={Michael Ruzhansky and J. Wirth},
journal={Functional Analysis and Its Applications},
year={2013},
volume={47},
pages={72-75}
}
• Published 2013
• Mathematics
• Functional Analysis and Its Applications
In this note we announce Lp multiplier theorems for invariant and noninvariant operators on compact Lie groups in the spirit of the well-known Hörmander-Mikhlin theorem on ℝn and its versions on the torus $$\mathbb{T}^n$$. Applications to mapping properties of pseudo-differential operators on Lp-spaces and to a priori estimates for nonhypoelliptic operators are given.
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