Sharp L^p-L^q estimate for the spectral projection associated with the twisted Laplacian

2020/08/21 by Jeong, Eunhee, Lee, Sanghyuk, Ryu, Jaehyeon
#42B99 #42C10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.09410

Abstract

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

Related

• Spectral projections for the twisted Laplacian
• Hermite spectral projection operator
• Bounds on the Hermite spectral projection operator
• Sharp L^p-L^q estimates for the spherical harmonic projection
• Sharp L^p-L^q estimates for generalized k-plane transforms