descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2011Embargo end date: 01 Jan 2010 English Publisher:Elsevier BVJournal:Advances in Mathematics, volume 226, pages 1,410-1,432 (issn: 0001-8708,

Authors: González Nogueras, María del Mar; Chang, Sun-Yung Alice;

doi: 10.1016/j.aim.2010.07.016 , 10.48550/arxiv.1003.0398

arXiv: 1003.0398

handle: 2117/11603 , 2117/6954

Fractional Laplacian in conformal geometry

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Abstract

In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli-Silvestre and a class of conformally covariant operators in conformal geometry.

Related Organizations

Universitat Polite`cnica de Catalunya
Spain
Princeton University
Institute for Advanced Study
United States
Princeton University
Universitat Polit?cnica de Catalunya
Spain

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Keywords

Mathematics - Differential Geometry, Mathematics(all), Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria, Geometria diferencial, Conformally covariant operators, Dirichlet-to-Neumann operators, conformal geometry, Fractional Laplacian, conformally covariant operators, Manifolds (Mathematics), Mathematics - Analysis of PDEs, Fractional derivatives and integrals, FOS: Mathematics, Global differential geometry, Conformal geometry, Àrees temàtiques de la UPC::Matemàtiques i estadística, PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables), Laplacian operator, Pseudodifferential operators as generalizations of partial differential operators, :Matemàtiques i estadística [Àrees temàtiques de la UPC], Partial differential equations on manifolds; differential operators, Differential Geometry (math.DG), 53A30, 35S05, fractional Laplacian, Asymptotically hyperbolic manifolds, :Matemàtiques i estadística::Geometria [Àrees temàtiques de la UPC], Analysis of PDEs (math.AP)

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