TY - JOUR
T1 - Fractional Laplacian in conformal geometry
AU - Chang, Sun Yung Alice
AU - González, María del Mar
N1 - Funding Information:
* Corresponding author. E-mail address: mar.gonzalez@upc.edu (M.d.M. González). 1 The research of the first author is partially supported by NSF through grant DMS-0758601; the first author also gratefully acknowledges partial support from the Minerva Research Foundation and the Charles Simonyi Endowment fund during the academic year 08–09 while visiting Institute of Advanced Study. 2 M.d.M. González is supported by Spain Government project MTM2008-06349-C03-01 and GenCat 2009SGR345. Also, by NSF grant DMS-0635607, while staying at the Institute for Advanced Study in 2009.
PY - 2011/1/30
Y1 - 2011/1/30
N2 - 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.
AB - 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.
KW - Asymptotically hyperbolic manifolds
KW - Conformal geometry
KW - Conformally covariant operators
KW - Dirichlet-to-Neumann operators
KW - Fractional Laplacian
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U2 - 10.1016/j.aim.2010.07.016
DO - 10.1016/j.aim.2010.07.016
M3 - Article
AN - SCOPUS:78149496757
SN - 0001-8708
VL - 226
SP - 1410
EP - 1432
JO - Advances in Mathematics
JF - Advances in Mathematics
IS - 2
ER -