Timeline for Let $f$ be convex and $A$ a Borel subset of $\mathbb R^d$ on which $f$ is differentiable. Is the gradient $\nabla f: A \to \mathbb R^d$ measurable?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 5, 2023 at 2:45 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
edited body
|
| Jul 1, 2022 at 20:02 | comment | added | Akira | Thank you so much @orangeskid. I have just formalized your ideas in this thread. | |
| Jul 1, 2022 at 12:56 | vote | accept | Akira | ||
| Jul 1, 2022 at 12:52 | comment | added | orangeskid | $\frac{\partial f}{\partial x_i}$ is the pointwise limit of the sequence of measurable functions $n(f(x+ \frac{1}{n} e_i) - f(x))$, hence measurable | |
| Jul 1, 2022 at 3:29 | answer | added | Pedro Lauridsen Ribeiro | timeline score: 5 | |
| Jul 1, 2022 at 0:35 | history | edited | Akira | CC BY-SA 4.0 |
edited title
|
| Jun 30, 2022 at 23:30 | history | asked | Akira | CC BY-SA 4.0 |