A Sobolev estimate for the adjoint restriction operator

作者:Cho Yonggeun; Guo Zihua*; Lee Sanghyuk
来源:Mathematische Annalen, 2015, 362(3-4): 799-815.
DOI:10.1007/s00208-014-1130-7

摘要

In this note we consider the adjoint restriction estimate for hypersurface under additional regularity assumption. We obtain the optimal - estimates and their mixed norm generalizations. As applications we prove some weighted Strichartz estimates for the propagator phi -> e(it(-Delta)alpha/2) phi, alpha > 0.