Timeline for $L^2$ boundedness of the Hilbert transform via Cotlar-Stein Lemma
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 6, 2021 at 9:34 | answer | added | Desura | timeline score: 1 | |
| Oct 14, 2014 at 4:41 | vote | accept | Mustafa Said | ||
| Oct 13, 2014 at 22:19 | answer | added | Mark Lewko | timeline score: 3 | |
| Oct 13, 2014 at 17:06 | comment | added | Mustafa Said | I want to see how the Cotlar-Stein lemma is used to prove $L^2$ boundedness of the Hilbert transform. | |
| Oct 13, 2014 at 15:22 | comment | added | Denis Serre | The Hilbert transform is the operator $u\mapsto{\cal F}^{-1}\sigma\cal F$, where $\cal F$ is the Fourier transform and $\sigma$ the multiplication by ${\rm sign}\,\xi$. It is bounded in $L^2$ and even an isometry, as a composition of such operators. | |
| Oct 13, 2014 at 15:05 | history | asked | Mustafa Said | CC BY-SA 3.0 |