Lp Fourier multipliers on compact Lie groups

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.

22 pages; minor corrections

References in corpus (4)

• Global functional calculus for operators on compact Lie groups
• Sharp Garding inequality on compact Lie groups
• On multipliers on compact Lie groups
• Hardy-Littlewood inequalities and Fourier multipliers on SU(2)

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• Subelliptic sharp Gårding inequality on compact Lie groups
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