Timeline for Structure of the Cantor part of the derivative of a BV function
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 4, 2019 at 10:54 | vote | accept | Romeo | ||
| Dec 25, 2017 at 17:13 | comment | added | Romeo | Or maybe one could work with the sets $E_\alpha = \{x: \lim_{r \to 0} r^{-\alpha}|Du|(B^r(x)) > 0\}$... does this make sense? Thanks. | |
| Dec 25, 2017 at 17:06 | comment | added | Romeo | Oh you are right, that is true. So it is interesting to see whether this decomposition into $\alpha$-dimensional sets can be performed... the only thing that comes to my mind is coarea formula, but that does not seem to help... Thanks again. | |
| Dec 25, 2017 at 16:57 | comment | added | Jean Duchon | A sum of two "devil's staircases" whose derivatives are carried on Cantor-like sets of different dimensions... | |
| Dec 25, 2017 at 16:53 | comment | added | Romeo | Thanks for your interest. Any ideas on references? And btw you say "certainly not with a single $\alpha$": can I ask you if you have a counterexample to disprove my claim? | |
| Dec 25, 2017 at 16:49 | history | answered | Jean Duchon | CC BY-SA 3.0 |