Timeline for Decay rate of the convolution of two functions
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 28, 2014 at 23:04 | answer | added | Christian Remling | timeline score: 2 | |
| Aug 28, 2014 at 18:16 | comment | added | Joonas Ilmavirta | Frankly, I don't know. (I'll try to see if I can think of something, but I can't promise anything.) But the short calculation I made suggests that my inequality would be a very natural lemma to use. If my inequality fails, I don't really know how to approach the original problem. | |
| Aug 28, 2014 at 15:18 | comment | added | Cao | Thank for your hint. I have tried to prove the inequality which you give, but until now I have not succeeded. How to prove your inequality ? | |
| Aug 28, 2014 at 12:33 | comment | added | Joonas Ilmavirta | If I'm not mistaken, proving the estimate $\frac12(x-y)^2+k|y|^\gamma\geq M(|x|^\xi+|y|^\alpha)$ for some $M,\xi,\alpha>0$ (and all $x,y\in\mathbb R$) would verify your guess. Does this look feasible? | |
| Aug 28, 2014 at 12:05 | history | asked | Cao | CC BY-SA 3.0 |