Sharp trace inequalities for fractional Laplacians
Type
Article
Change log
Authors
Einav, A
Loss, M
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.
Description
Keywords
math.AP, math.AP, 35A23
Journal Title
Proceedings of the American Mathematical Society
Conference Name
Journal ISSN
0002-9939
1088-6826
1088-6826
Volume Title
140
Publisher
American Mathematical Society (AMS)
Publisher DOI
Sponsorship
NSF