The main objective of the paper is to prove a geometric version of sharp trace and product estimates on null hypersurfaces with finite curvature flux. These estimates play a crucial role to control the geometry of such null hypersurfaces. The paper is based on an invariant version of the classical Littlewood-Paley theory, in a noncommutative setting, defined via heat flow on surfaces.
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Littlewood-Paley theory
- Null hypersurfaces
- Sobolev trace inequalities