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Timeline for Sobolev-type inequality.

Current License: CC BY-SA 3.0

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Feb 5, 2015 at 21:27 comment added Paul-Benjamin @timur There is a nice proof in the first book of Hörmander's The analysis of linear partial differential operators, section 4.5 "Basic $L^p$ estimates$. In his proof he only uses a dyadic Calderón-Zygmund decomposition.
Dec 4, 2013 at 15:28 comment added Jean Van Schaftingen There is a proof of this inequality by the layer cake representation of functions and the Hölder inequality in Lieb and Loss, Analysis, 2001, section 4.3.
Oct 20, 2012 at 13:29 comment added timur Can you prove it without using maximal function?
Oct 20, 2012 at 9:45 vote accept Felice
Oct 20, 2012 at 9:43 vote accept Felice
Oct 20, 2012 at 9:45
Oct 20, 2012 at 2:36 history answered user23078 CC BY-SA 3.0