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arXiv · 1105.4079

Sharp trace inequalities for fractional Laplacians

Amit Einav·Michael Loss
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Abstract

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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Amit Einav, Michael Loss. 2011-05-20. Sharp trace inequalities for fractional Laplacians. https://arxiv.org/abs/1105.4079

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