Timeline for Higher integrability for Sobolev functions
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 8, 2023 at 15:51 | comment | added | Adi | This is very helpful answer, the local or global aspect of my question is not particularly important for what I am trying to understand. In this sense, the global example is very helpful. | |
| Feb 7, 2023 at 14:35 | comment | added | Iosif Pinelis | @GiorgioMetafune : I see. I will read the answer more carefully now. | |
| Feb 7, 2023 at 14:18 | comment | added | Giorgio Metafune | I have some doubts on Christian construction, see the comments to his answer. Unnless I misunderstood somerhing the bound looks not uniform. | |
| Feb 7, 2023 at 13:54 | comment | added | Iosif Pinelis | @GiorgioMetafune : Such a modification would be something like Christian Remling's example. Both examples are based on the same "lacunary" idea. Christian Remling worked near $0$ and I worked near $\infty$. Somehow, it took me too much time to implement the idea, fiddling with the $c_k$'s, $r_k$'s, and $h_k$'s, and in the meantime the OP changed $L^{2+\epsilon}$ to $L^{2+\epsilon}_{loc}$. | |
| Feb 7, 2023 at 9:36 | comment | added | Giorgio Metafune | Can you modify the argument to prove a local counterexample? | |
| Feb 6, 2023 at 22:17 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |