Timeline for "Direct" proof (without hypercontractivity) of equivalence of moments?
Current License: CC BY-SA 3.0
5 events
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| Aug 27, 2014 at 16:59 | comment | added | Elwood | Thanks for the answer, I didn't know about these references. Generalizing the approach to higher order polynomials looks like a combinatorial nightmare to me, no? | |
| Aug 27, 2014 at 14:34 | comment | added | Bill Johnson | The most classical proof of Khintchine's inequality is obtained by proving it first for $p$ an even integer (just expand and compute). This gets the inequality for $p>2$. Then extrapolate to obtain it for $p<2$. This elementary proof gives the best order of constant, $\sqrt{p}$ as $p\to \infty$. The best constants were proved by Szarek ($p=2$) and Haagerup (general $p$) in the 1970s. | |
| Aug 27, 2014 at 13:16 | history | edited | Elwood | CC BY-SA 3.0 |
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| Aug 27, 2014 at 13:08 | history | edited | Elwood | CC BY-SA 3.0 |
added 111 characters in body
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| Aug 27, 2014 at 13:01 | history | asked | Elwood | CC BY-SA 3.0 |