English

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

Analysis of PDEs 2024-11-08 v1 Classical Analysis and ODEs Spectral Theory

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.

Keywords

Cite

@article{arxiv.2411.04792,
  title  = {$L^p - L^q$ resolvent restriction estimates for submanifolds},
  author = {Matthew D. Blair and Chamsol Park},
  journal= {arXiv preprint arXiv:2411.04792},
  year   = {2024}
}