L^p - L^q resolvent restriction estimates for submanifolds

2024/11/07 by Blair, Matthew D., Park, Chamsol
#35S30 #42B37 #58J40 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2411.04792

Abstract

We consider restriction analogues on hypersurfaces of the uniform Sobolev inequalities in Kenig, Ruiz, and Sogge and the resolvent estimates in Dos Santos Ferreira, Kenig, and Salo.

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