Timeline for On the boundedness properties of the mapping $f\to |f|^{\frac12}$ on homogeneous Sobolev space
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 2, 2017 at 16:03 | comment | added | anonymous | (I've removed my superfluous comments): I claimed earlier that the two sides scaled differently but they do not; @Hannes was kind enough to point out my error to me, thanks for that! | |
| Mar 2, 2017 at 8:23 | comment | added | Tomas | In your case, the right hand side also has $\lambda^{\frac12}$. I thought you mean the fowllowing scaling: $f(x)\to f(\lambda x)$, then both sides scale like $\lambda$ | |
| Mar 2, 2017 at 5:57 | comment | added | Tomas | @anonymous, I don't think so. I think both sides scale like $\lambda$ | |
| Mar 2, 2017 at 2:59 | comment | added | Tomas | @ChristianRemling, Thanks, But the inhomogeneous version is true according to Sickel's paper I mentioned, which sounds a little bit strange. | |
| Mar 2, 2017 at 1:54 | history | edited | Tomas | CC BY-SA 3.0 |
added 4 characters in body
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| Mar 1, 2017 at 16:16 | comment | added | Christian Remling | I don't think this can be true. Take $f$ harmonic (and bounded, say) on a large subset of $\mathbb R^n$. | |
| Mar 1, 2017 at 9:29 | history | asked | Tomas | CC BY-SA 3.0 |