Timeline for Fourier restriction in decoupling inequalities
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2023 at 6:14 | comment | added | Mark Lewko | You might also find arxiv.org/pdf/1604.06032.pdf helpful. | |
| Feb 24, 2023 at 6:12 | comment | added | Mark Lewko | The content of their decoupling theorem is that $||f||_{p}$ can be bounded by an an expression involving the functions $||f_\theta||_{p}$. If one of the $||f_\theta||_{p}$ is infinite the inequality has no content. That said, by Hausdorff-Young we have $||\hat{g} ||_{p} \leq ||g||_{p'}$ for $p \geq 2$ which shows $||f_\theta||_{p}$ is finite if $p\geq 2$ and its Fourier transform is, say, integrable and supported on in a finite ball. | |
| Feb 24, 2023 at 5:40 | history | asked | Simplyorange | CC BY-SA 4.0 |