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- W185491192 abstract "This work focuses on an improved fractional Sobolev inequality with a remainder term involving the HLS{} 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." @default.
- W185491192 created "2016-06-24" @default.
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- W185491192 date "2014-04-03" @default.
- W185491192 modified "2023-09-24" @default.
- W185491192 title "Fractional Sobolev and Hardy-Littlewood-Sobolev inequalities" @default.
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