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

S. Klainerman; I. Rodnianski

doi:10.1007/s00039-006-0557-8

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

S. Klainerman, I. Rodnianski

Mathematics

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

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.

Original language	English (US)
Pages (from-to)	164-229
Number of pages	66
Journal	Geometric and Functional Analysis
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/s00039-006-0557-8
State	Published - Feb 2006

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

Keywords

Littlewood-Paley theory
Null hypersurfaces
Sobolev trace inequalities

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10.1007/s00039-006-0557-8

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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 = "Littlewood-Paley theory, Null hypersurfaces, Sobolev trace inequalities",

author = "S. Klainerman and I. Rodnianski",

note = "Funding Information: Keywords and phrases: Sobolev trace inequalities, Littlewood–Paley theory, null hypersurfaces. 2000 Mathematics Subject Classification: 35J10 The first author is partially supported by NSF grant DMS-0070696. The second author is a Clay Prize Fellow and is partially supported by NSF grant DMS-01007791.",

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AU - Rodnianski, I.

N1 - Funding Information: Keywords and phrases: Sobolev trace inequalities, Littlewood–Paley theory, null hypersurfaces. 2000 Mathematics Subject Classification: 35J10 The first author is partially supported by NSF grant DMS-0070696. The second author is a Clay Prize Fellow and is partially supported by NSF grant DMS-01007791.

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Y1 - 2006/2

N2 - 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.

AB - 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.

KW - Littlewood-Paley theory

KW - Null hypersurfaces

KW - Sobolev trace inequalities

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JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 1

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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