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Aug 25, 2011 at 12:30 vote accept Mircea
Aug 25, 2011 at 12:30 comment added Mircea Thank you! I think this is a good answer, which points in the direction that "the result is not important per se". Gehring is also equivalent to the self-improving proprety of Muckenhoupt weights, so I would also say L^p-self-improvement could have been the general principle answering of the initial question. But that's not the "juice" as you say..it's more the "summary"
Jul 21, 2011 at 16:29 history answered fedja CC BY-SA 3.0