Geometric & Functional Analysis GAFA

, Volume 16, Issue 1, pp 164–229

Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux

Original Paper

Abstract.

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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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

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