Timeline for $L^2$ bound and Sobolev spaces
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 24, 2019 at 0:26 | vote | accept | CommunityBot | ||
| Aug 23, 2019 at 23:34 | answer | added | Christian Remling | timeline score: 1 | |
| Aug 23, 2019 at 13:16 | comment | added | Yemon Choi | @Sascha Sorry, I did not notice the condition $\beta<1$. Therefore my comment does not help, at least not in any direct way | |
| Aug 23, 2019 at 13:07 | comment | added | Sascha | @YemonChoi I am not entirely sure I understand the connection between your comment and the OP's question fully to be honest. Should this link imply that the answer is yes or no? | |
| Aug 23, 2019 at 12:53 | comment | added | Yemon Choi | Does the following help? en.wikipedia.org/wiki/… (It is stated for Fourier series of functions on the circle, but my memory is that natural modifications work for the Fourier transform of a function on the line) The idea is that if you have suitable decay of the Fourier transform at infinity, as witnessed by an appropriate Sobolev norm, then you get the desired tail estimates needed to apply Bernstein's theorem(s) | |
| Aug 23, 2019 at 11:52 | history | edited | user69109 | CC BY-SA 4.0 |
added 10 characters in body
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| Aug 23, 2019 at 11:51 | comment | added | Fan Zheng | Do you really mean to put weights in the physical space instead of the frequency space? Then no such bound is possible. | |
| Aug 23, 2019 at 11:41 | history | asked | user69109 | CC BY-SA 4.0 |