On multipliers on compact Lie groups
arXiv:1303.4968 · doi:10.1007/s10688-013-0010-3
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.
8 pages