Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux
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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.
Keywords and phrases.Sobolev trace inequalities Littlewood–Paley theory null hypersurfaces
2000 Mathematics Subject Classification.35J10
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