Sharp exponential integrability for critical Riesz potentials and fractional Laplacians on Rⁿ

2017/02/07 by Fontana, Luigi, Morpurgo, Carlo
#26D10 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1702.02078

Abstract

We derive sharp Adams inequalities for the Riesz and more general Riesz-like potentials on the whole of Rⁿ. As a consequence, we obtain sharp Moser-Trudinger inequalities for the critical Sobolev spaces W^a,n/a(Rⁿ), 0

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