Multilinear embedding estimates for the fractional Laplacian

Details Multilinear embedding estimates for the fractional Laplacian Multilinear embedding estimates for the fractional Laplacian

2010-04-13

arxiv.org/abs/1004.2259v4

Mathematics

Analysis of PDEs

AMSLaTeX, 13 pages, Expanded material

Scientific paper

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.

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