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arXiv:1004.2259 [math.AP]AbstractReferencesReviewsResources

Multilinear embedding estimates for the fractional Laplacian

William Beckner

Published 2010-04-13, updated 2011-10-27Version 4

Three novel multilinear embedding estimates for the fractional Laplacian are obtained in terms of trace integrals restricted to the diagonal. The resulting sharp inequalities may be viewed as extensions of the Hardy-Littlewood-Sobolev inequality, the Gagliardo-Nirenberg inequality and Pitt's inequality.

Comments: AMSLaTeX, 13 pages, Expanded material
Categories: math.AP
Subjects: 58J70, 42B10, 35A15
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