Sharp trace inequalities for fractional Laplacians

Details Sharp trace inequalities for fractional Laplacians Sharp trace inequalities for fractional Laplacians

2011-05-20

arxiv.org/abs/1105.4079v1

Mathematics

Analysis of PDEs

LaTex, 7 pages

Scientific paper

The sharp trace inequality of Jose Escobar is extended to traces for the
fractional Laplacian on R^n and a complete characterization of cases of
equality is discussed. The proof proceeds via Fourier transform and uses Lieb's
sharp form of the Hardy-Littlewood-Sobolev inequality.

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