Mathematical Research Letters
Volume 19 (2012)
Multilinear embedding estimates for the fractional Laplacian
Pages: 175 – 189
Three novel multilinear embedding estimates for the fractional Laplacian areobtained in terms of trace integrals restricted to the diagonal.The resulting sharp inequalities may be viewed as extensions of theHardy–Littlewood–Sobolev inequality, the Gagliardo–Nirenberginequality and Pitt’s inequality.