Beckner, William Multilinear embedding estimates for the fractional Laplacian. (English) Zbl 1291.35426 Math. Res. Lett. 19, No. 1, 175-189 (2012). Summary: 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-Nirenbergin equality and Pitt’s inequality. Cited in 9 Documents MSC: 35R11 Fractional partial differential equations 35A23 Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals PDFBibTeX XMLCite \textit{W. Beckner}, Math. Res. Lett. 19, No. 1, 175--189 (2012; Zbl 1291.35426) Full Text: DOI arXiv