Sharp trace inequalities for fractional Laplacians

Published 20 May 2011 in math.AP | (1105.4079v1)

Abstract: The sharp trace inequality of Jose Escobar is extended to traces for the fractional Laplacian on Rⁿ 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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