Timeline for Fractional Sobolev norm of characteristic function of an interval?
Current License: CC BY-SA 4.0
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| Feb 23, 2020 at 14:55 | comment | added | Giorgio Metafune | Yes. The norm is translation invariant so you may assume that $I=(-a,a)$. Now use dilations to relate the seminorn of any $u$ to that of $u_{\lambda} (x)=u(\lambda x)$. | |
| Feb 23, 2020 at 8:30 | comment | added | StopUsingFacebook | Is it possible to evaluate the $W^{s,2}$ norm though, or at least give a bound for it in terms of the measure of the interval or something related? | |
| Feb 22, 2020 at 22:06 | history | answered | Bazin | CC BY-SA 4.0 |