Journal
ADVANCES IN MATHEMATICS
Volume 226, Issue 2, Pages 1410-1432Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2010.07.016
Keywords
Conformal geometry; Fractional Laplacian; Conformally covariant operators; Dirichlet-to-Neumann operators; Asymptotically hyperbolic manifolds
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Funding
- NSF [DMS-0758601, DMS-0635607]
- Minerva Research Foundation
- Charles Simonyi Endowment fund
- Spain Government [MTM2008-06349-C03-01, GenCat 2009SGR345]
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In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli and Silvestre and a class of conformally covariant operators in conformal geometry. (C) 2010 Elsevier Inc. All rights reserved.
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