Geometric & Functional Analysis GAFA

, Volume 16, Issue 1, pp 164–229 | Cite as

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

Original Paper


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.



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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

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