Timeline for $L_p$ norms of $0-1$ exponential sums
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 21, 2021 at 1:33 | comment | added | TOM | Thank you for answering this. | |
| Feb 21, 2021 at 1:33 | vote | accept | TOM | ||
| Feb 21, 2021 at 1:13 | comment | added | Mark Lewko | Paata: This is discussed in Aistleitener's 2012 paper arxiv.org/pdf/1211.4640.pdf. At least as of the writing of that paper, the problem was open. Apparently, this problem has some important implications to rank one transforms. See the discussion there. | |
| Feb 21, 2021 at 0:41 | comment | added | Mark Lewko | Paata: Obviously you can get to a constant multiple of $\sqrt{n}$ by considering a dissociative set, but I'm not sure what is known about the absolute constants. I would suspect your inequality is true, but I'm not aware of any literature on the topic. | |
| Feb 21, 2021 at 0:10 | comment | added | Paata Ivanishvili | under the assumption that $n\geq 2$. | |
| Feb 21, 2021 at 0:07 | comment | added | Paata Ivanishvili | Do you know by chance if the inequality $\| f\|_{1} \leq 0.9999 \sqrt{n}$ was ever proved/disproved somewhere? | |
| Feb 20, 2021 at 23:52 | history | answered | Mark Lewko | CC BY-SA 4.0 |