Timeline for Products of functions in fractional-order Sobolev spaces
Current License: CC BY-SA 4.0
2 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 14, 2019 at 19:09 | comment | added | olih | Bazin: The estimate $\|fg\|_s \lesssim \|f\|_s \|g\|_s$ for $s>n/2$ follows directly since $H^s(\Omega)$ is a Banach algebra in that case. I was specifically interested (i) in situations where the Sobolev indices on the left and right are different, and (ii) not just for $H^s_\mathrm{loc}(\Omega)$; and indeed the key is Stein's extension theorem, as Matt pointed out. | |
| Jul 13, 2019 at 18:36 | history | answered | Bazin | CC BY-SA 4.0 |