Timeline for $L^p$ domination of mixed partial derivatives of the 3rd order by the unmixed ones?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Mar 8 at 13:39 | vote | accept | Iosif Pinelis | ||
| Mar 7 at 3:26 | answer | added | fedja | timeline score: 7 | |
| Feb 27 at 19:54 | vote | accept | Iosif Pinelis | ||
| S Mar 8 at 13:39 | |||||
| Feb 27 at 19:22 | comment | added | Piero D'Ancona | Yes. By the Mikhlin Multiplier Theorem you get an estimate of the form LHS $\lesssim \||D_{1}|^{3}u\|_{L^{p}}+\||D_{2}|^{3}u\|_{L^{p}}+\||D_{3}|^{3}u\|_{L^{p}}$, where $|D_{j}|$ is the operator with symbol $|\xi_{j}|$. Then again by Mikhlin you can replace $|D_{j}|^{3}$ by $D_{j}^{3}$ | |
| Feb 27 at 19:01 | answer | added | an_ordinary_mathematician | timeline score: 4 | |
| Feb 27 at 17:34 | history | asked | Iosif Pinelis | CC BY-SA 4.0 |