Timeline for Continuous extension of functions
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 5, 2019 at 15:01 | comment | added | MathLearner | Thank you @Piotr Hajlasz | |
| Oct 5, 2019 at 4:13 | comment | added | Piotr Hajlasz | @MathLearner First note that the dimension of the boundary is $n-1$ so you need to replace $n$ by $n-1$ in the theorem and then you get the exponent $q$. Secondly to get boundary of $\Omega$ from $\mathbb{R}^{n-1}$ you use partition of unity and diffeomrohisms to flatten the boundary. This is a standard technique that you find in any textbook on Sobolev spaces, but there is not enough place to explain it here in details. | |
| Oct 4, 2019 at 19:48 | comment | added | MathLearner | I don't see how the corollary follows from the stated theorem: in:mathoverflow.net/a/322635/121665. I would appreciate if you could elaborate on this. Thanks. | |
| Oct 3, 2019 at 18:52 | vote | accept | MathLearner | ||
| Oct 3, 2019 at 18:49 | history | answered | Piotr Hajlasz | CC BY-SA 4.0 |