Timeline for Is anything known about $w^*(x)=\sup_y w(x+y)/w(y)$ for measurable functions w on $R^n$
Current License: CC BY-SA 2.5
13 events
| when toggle format | what | by | license | comment | |
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| Jul 8, 2010 at 12:05 | vote | accept | Nicolò | ||
| Jul 4, 2010 at 16:05 | answer | added | Nicolò | timeline score: 4 | |
| Jul 1, 2010 at 12:08 | history | edited | Nicolò | CC BY-SA 2.5 |
added 63 characters in body
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| Jun 30, 2010 at 19:55 | answer | added | Willie Wong | timeline score: 4 | |
| Jun 30, 2010 at 19:29 | answer | added | Helge | timeline score: 4 | |
| Jun 30, 2010 at 18:49 | comment | added | Yemon Choi | Certainly expressions like this have come up in various papers which deal with "weighted $L^1$-convolution algebras" - objects that have cropped up in Banach-algebra papers as sources of examples. Unfortunately I don't know of any definitive or convenient reference off the top of my head. | |
| Jun 30, 2010 at 18:29 | answer | added | Mark Meckes | timeline score: 3 | |
| Jun 30, 2010 at 15:04 | comment | added | Nicolò | You can take, for example, $w(x)= e^{A|x|^\varepsilon}$, with A greater than 0 and $0<\varepsilon\leq 1$ | |
| Jun 30, 2010 at 14:23 | comment | added | Helge | $w=w^*$ might be strong enough to imply $w(x) = a^x$ for $n = 1$. At least it implies $w(0) = 1$. Do you have an example of a function with $w = w^*$ other than $a^x$? | |
| Jun 30, 2010 at 13:42 | history | edited | Nicolò | CC BY-SA 2.5 |
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| Jun 30, 2010 at 13:24 | comment | added | Nicolò | Thanks for tour suggestion, i've edited the title following your hint | |
| Jun 30, 2010 at 13:23 | history | edited | Nicolò | CC BY-SA 2.5 |
edited title
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| Jun 30, 2010 at 9:15 | history | asked | Nicolò | CC BY-SA 2.5 |