Resumen de Sharp Lp-Lq estimate for the spectral projection associated with the twisted Laplacian

Eunhee Jeong, Sanghyuk Lee , Jaehyeon Ryu

• In this note we are concerned with estimates for the spectral projection operator Pµ associated with the twisted Laplacian L. We completely characterize the optimal bounds on the operator norm of Pµ from Lp to Lq when 1 ≤ p ≤ 2 ≤ q ≤ ∞. As an application, we obtain a uniform resolvent estimate for L.