Timeline for Regularity of the Radon transform with respect to the original function
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 1, 2022 at 6:52 | comment | added | Titouan Vayer | Yes indeed. It is because I did not catch the "rotationally invariant" argument of this post (which implies that w.l.o.g you can choose a standard basis vector). So I preferred to prove it with a arbitrary $\theta$. | |
| May 31, 2022 at 11:31 | comment | added | dohmatob | @TitouanVayer Hum, why do you have a dimension-dependent multiplicative constant $C=d^{k+1}$ in the RHS of your upper bound in lemma 7 ? The computations in this post show that one can take $C=1$. | |
| May 31, 2022 at 9:41 | comment | added | Titouan Vayer | Hi @dohmatob I just saw your comment. I used kind of the same result here arxiv.org/pdf/2112.00423.pdf in Lemma 7. Maybe this will be useful for you | |
| May 6, 2022 at 6:52 | comment | added | dohmatob | Also, why do you require $f$ be compactly supported in the calculations ? | |
| May 5, 2022 at 7:10 | comment | added | dohmatob | This result can be extended to hold for any $p \in [1,\infty)$, right ? | |
| Jul 8, 2021 at 17:12 | comment | added | Titouan Vayer | Thank you ! I do not really catch why we can consider the standard basis vector, could you elaborate ? (it is not clear what you mean by "Sobolev norms are all rotationally invariant") | |
| Jun 16, 2021 at 11:18 | history | answered | Johannes Hahn | CC BY-SA 4.0 |