Timeline for Is there any nontrivial characterization of weakly differentiable functions?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 21, 2020 at 15:01 | vote | accept | Jingeon An-Lacroix | ||
| May 20, 2020 at 20:53 | answer | added | Piotr Hajlasz | timeline score: 14 | |
| May 20, 2020 at 19:48 | comment | added | Bazin | The Sobolev space $W^{1,1}$ of $f\in L^1$ such that the distribution derivative $f'$ belongs also to $L^1$ is a nice space (by the way included in $L^{\frac{d}{d-1}}$). The space $BV$ of $f\in L^1$ such that the distribution derivative $f'$ is a Radon measure is larger (and nice as well). | |
| May 20, 2020 at 17:40 | comment | added | Christian Remling | In one dimension, $f'$ (distributional derivative) being locally integrable is equivalent to $f$ being absolutely continuous. The result is discussed in my distribution lecture notes here: math.ou.edu/~cremling/teaching/ln.html | |
| May 20, 2020 at 17:09 | history | asked | Jingeon An-Lacroix | CC BY-SA 4.0 |