Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Fractional Sobolev and Hardy-Littlewood-Sobolev inequalities

Abstract : This work focuses on an improved fractional Sobolev inequality with a remainder term involving the Hardy-Littlewood-Sobolev inequality which has been proved recently. By extending a recent result on the standard Laplacian to the fractional case, we offer a new, simpler proof and provide new estimates on the best constant involved. Using endpoint differentiation, we also obtain an improved version of a Moser-Trudinger-Onofri type inequality on the sphere. As an immediate consequence, we derive an improved version of the Onofri inequality on the Euclidean space using the stereographic projection.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [23 references]  Display  Hide  Download
Contributor : Gaspard Jankowiak Connect in order to contact the contributor
Submitted on : Tuesday, July 15, 2014 - 5:42:33 PM
Last modification on : Tuesday, January 18, 2022 - 3:24:17 PM
Long-term archiving on: : Monday, November 24, 2014 - 1:41:31 PM


Files produced by the author(s)


  • HAL Id : hal-00972035, version 2
  • ARXIV : 1404.1028



Gaspard Jankowiak, van Hoang Nguyen. Fractional Sobolev and Hardy-Littlewood-Sobolev inequalities. 2014. ⟨hal-00972035v2⟩



Record views


Files downloads