A New, Rearrangement-free Proof of the Sharp Hardy–Littlewood–Sobolev Inequality-Reference-Cited by-同舟云学术

A New, Rearrangement-free Proof of the Sharp Hardy–Littlewood–Sobolev Inequality

Published:2011-10-11 Issue: Volume: Page:55-67
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Container-title:Spectral Theory, Function Spaces and Inequalities
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Author:

Frank Rupert L.,Lieb Elliott H.

Publisher

Springer Basel

Link

http://link.springer.com/content/pdf/10.1007/978-3-0348-0263-5_4.pdf

Reference25 articles.

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3. W. Beckner, Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn. Proc. Nat. Acad. Sci. U.S.A. 89 (1992), no. 11, 4816–4819.

4. W. Beckner, Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality. Ann. of Math. (2) 138 (1993), no. 1, 213–242.

5. E. A. Carlen, J. A. Carrillo, M. Loss, Hardy – Littlewood – Sobolev inequalities via fast diffusion flows, Proc. Nat. Acad. USA 107 (2010), no. 46, 19696–19701.

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