Timeline for The proof of Tomas's restriction theorem $\|\hat{f}(\theta)\|_2\lesssim \|f\|_p$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 21, 2020 at 16:47 | comment | added | user130023 | Thanks a lot for the good references. I will try to understand these estimates then post their proof here hopefully. | |
| Jul 21, 2020 at 6:12 | comment | added | Giorgio Metafune | I agree that the original paper is not understandable because the main estimates you ask for are not explained. Actually they follow since the Fourier transform of the surface measure can be expressed through a Bessel function...but one needs some computation. The booklet by Stein: Bejing lectures on Harmonic analysis has full proofs in the chapter on oscillatory integrals but in a more general setting. A detailed proof of Tomas's result can be found in an expository paper by D. Kriventsov (available online) "The restriction problem and the Tomas Stein theorem". | |
| Jul 20, 2020 at 19:13 | history | edited | user130023 | CC BY-SA 4.0 |
added 3 characters in body
|
| Jul 20, 2020 at 19:03 | history | edited | user130023 | CC BY-SA 4.0 |
added 3 characters in body
|
| Jul 20, 2020 at 18:56 | history | edited | user130023 | CC BY-SA 4.0 |
Added further thoughts on the answer
|
| Jul 20, 2020 at 18:51 | history | edited | user130023 | CC BY-SA 4.0 |
Added further thoughts on the answer
|
| Jul 20, 2020 at 18:46 | history | edited | user130023 | CC BY-SA 4.0 |
Added further thoughts on the answer
|
| Jul 20, 2020 at 18:38 | history | asked | user130023 | CC BY-SA 4.0 |