Timeline for $L^p$ domination of mixed partial derivatives by the unmixed ones?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Feb 27 at 6:33 | history | edited | an_ordinary_mathematician | CC BY-SA 4.0 |
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| Feb 27 at 2:14 | comment | added | Pietro Majer | Please note that it's Schwartz class, from Laurent Schwartz, not Hermann Schwarz. | |
| Feb 26 at 23:03 | comment | added | Christian Remling | @IosifPinelis: I was just discussing the boundedness of the Riesz transforms on $L^p$, which are the multipliers $m_j(x)=x_j/|x|$. | |
| Feb 26 at 21:54 | comment | added | Iosif Pinelis | @ChristianRemling : Sorry, I don't see a proof of the desired bound there. Can you expand your comment, maybe into a formal answer? | |
| Feb 26 at 21:19 | comment | added | Christian Remling | This should settle it too, though there's probably an easier direct proof: en.wikipedia.org/wiki/… | |
| Feb 26 at 20:49 | vote | accept | Iosif Pinelis | ||
| Feb 27 at 3:38 | |||||
| Feb 26 at 20:40 | comment | added | an_ordinary_mathematician | Sure, its corollary 5.2.8 in Grafakos Classical Fourier analysis, Third Edition | |
| Feb 26 at 20:37 | comment | added | Iosif Pinelis | Thank you for your answer. Do you have a reference to, or a proof of, the $L^p$ boundedness of the Riesz transform? | |
| Feb 26 at 20:10 | history | answered | an_ordinary_mathematician | CC BY-SA 4.0 |