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Sharp trace inequalities for fractional Laplacians

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 نشر من قبل Michael Loss
 تاريخ النشر 2011
  مجال البحث
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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 Liebs sharp form of the Hardy-Littlewood-Sobolev inequality.

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