Timeline for A counterexample in Littlewood-Paley theory.
Current License: CC BY-SA 3.0
7 events
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| Mar 13, 2012 at 21:35 | comment | added | fedja | If you do not mind dealing with Fourier series instead of integrals, just take $\sum_k a_k z^{2^k}$. For every $p<\infty$, this is in $L^p$ on the circle if and only if $a_k\in\ell^2$ and your LP projections are just individual monomials. | |
| Mar 13, 2012 at 21:05 | answer | added | Bazin | timeline score: 2 | |
| Apr 19, 2011 at 12:03 | history | edited | Willie Wong |
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| Apr 19, 2011 at 12:03 | comment | added | Willie Wong | hint: reduce this to a scaling problem and you are down to constructing a sequence that converges in $\ell^p$ but not in $\ell^1$. | |
| Apr 19, 2011 at 9:44 | history | edited | John H | CC BY-SA 3.0 |
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| Apr 19, 2011 at 9:34 | history | edited | John H | CC BY-SA 3.0 |
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| Apr 19, 2011 at 8:59 | history | asked | John H | CC BY-SA 3.0 |