4.6 Article

Fractional Laplacian in conformal geometry

期刊

ADVANCES IN MATHEMATICS
卷 226, 期 2, 页码 1410-1432

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2010.07.016

关键词

Conformal geometry; Fractional Laplacian; Conformally covariant operators; Dirichlet-to-Neumann operators; Asymptotically hyperbolic manifolds

资金

  1. NSF [DMS-0758601, DMS-0635607]
  2. Minerva Research Foundation
  3. Charles Simonyi Endowment fund
  4. Spain Government [MTM2008-06349-C03-01, GenCat 2009SGR345]

向作者/读者索取更多资源

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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