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Sharp trace inequalities for fractional Laplacians

dc.creatorEinav, Amit
dc.creatorLoss, Michael
dc.date.accessioned2018-11-24T23:26:41Z
dc.date.available2016-04-18T10:25:31Z
dc.date.available2018-11-24T23:26:41Z
dc.date.issued2012-04-05
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/255015
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3865
dc.description.abstractThe sharp trace inequality of José 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.
dc.languageen
dc.publisherAmerican Mathematical Society
dc.publisherProceedings of the American Mathematical Society
dc.titleSharp trace inequalities for fractional Laplacians
dc.typeArticle


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