Timeline for The Hölder inequality for fractional order Sobolev seminorm?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 28, 2019 at 20:48 | comment | added | Piotr Hajlasz | I learned about this non-embedding result about a couple of years ago and I was quite surprised. | |
| Nov 17, 2016 at 8:23 | comment | added | Jean Van Schaftingen | No, in fact. The integral can be finite for some $q$ and infinite for every $p < q$. The only possibility is to decrease slightly the smoothness in the left-hand side of the inequality by taking a $W^{r, p}$ norm with $r <s$ and $q < p$. | |
| Nov 17, 2016 at 0:02 | comment | added | JumpJump | I understand. Btw, would it make any difference if I restrict my $p$ and $q$ is a small interval? For example, if I assume that $1<p<q<1+\epsilon$ where $\epsilon>0$ could be arbitrary small. Would this make any different? | |
| Nov 16, 2016 at 23:56 | vote | accept | JumpJump | ||
| Nov 16, 2016 at 15:35 | history | answered | Jean Van Schaftingen | CC BY-SA 3.0 |