Dr Amit Einav amit.einav@durham.ac.uk
Assistant Professor
The 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.
Einav, A., & Loss, M. (2012). Sharp trace inequalities for fractional Laplacians. Proceedings of the American Mathematical Society, 140(12), https://doi.org/10.1090/s0002-9939-2012-11380-2
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 5, 2012 |
Online Publication Date | Apr 5, 2012 |
Publication Date | 2012 |
Deposit Date | Nov 16, 2020 |
Journal | Proceedings of the American Mathematical Society |
Print ISSN | 0002-9939 |
Electronic ISSN | 1088-6826 |
Publisher | American Mathematical Society |
Volume | 140 |
Issue | 12 |
DOI | https://doi.org/10.1090/s0002-9939-2012-11380-2 |
Public URL | https://durham-repository.worktribe.com/output/1257236 |
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