Restriction type estimates on general two-step stratified Lie groups

2023/04/25 by Niedorf, Lars
#22E25 #22E30 #42B15 #43A85 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2304.12960

Abstract

We prove restriction type estimates for sub-Laplacians on general two-step stratified Lie groups. The core of our approach is to use spectral cluster estimates to effectively control the eigenvalue distribution of a family of anisotropic twisted Laplacians.

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