Timeline for A question regarding Bourgain's paper on $\Lambda(p)$-subsets
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 3, 2021 at 16:09 | comment | added | Alex Ortiz | I think that "linearization" as Bourgain is referring to it is very closely related to what Beckenbach and Bellman call "quasilinearization" in their book Inequalities (p. 23), which is also closely related to the duality of $L^p$ spaces. The idea is to characterize $L^p$ norms as envelopes of linear quantities. For more on quasilinearization as a strategy for proving inequalities, you can look at p. 669 of the book Classical and New Inequalities in Analysis, where the starting point of the exposition is the classical Hölder and Minkowski inequalities. | |
| Jun 22, 2019 at 20:40 | answer | added | Thomas Bloom | timeline score: 5 | |
| Jun 22, 2019 at 20:32 | comment | added | H A Helfgott | I remember being stuck at this very point while trying to read this same paper some ten years ago. Fortunately I was reading it with a friend, and we figured it out. | |
| Jun 22, 2019 at 19:02 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jun 7, 2019 at 23:13 | comment | added | alpoge | \sum_r \eps_r \sum_n a_n e(n^2 t_r) = \sum_n a_n \sum_r \eps_r e(n^2 t_r) \leq (\sum_n \sum_{r, r’} \eps_r \bar{\eps}_{r’} e(n^2 (t_r - t_{r’})))^{1/2} = (\sum_{r, r’} \eps_r \bar{\eps}_{r’} \sum_n e(n^2 (t_r - t_{r’})))^{1/2} \leq (\sum_{r, r’} |\sum_n e(n^2 (t_r - t_{r’}))|)^{1/2}. | |
| May 23, 2019 at 5:40 | answer | added | Mayank Pandey | timeline score: 3 | |
| May 5, 2019 at 20:34 | comment | added | Jacky Chong | @MarkLewko Thank you for the very useful link. | |
| May 5, 2019 at 16:27 | comment | added | Mark Lewko | See: mathoverflow.net/questions/36653/… | |
| May 5, 2019 at 0:34 | history | edited | Jacky Chong | CC BY-SA 4.0 |
deleted 1 character in body
|
| May 5, 2019 at 0:20 | review | First posts | |||
| May 5, 2019 at 0:34 | |||||
| May 5, 2019 at 0:15 | history | asked | Jacky Chong | CC BY-SA 4.0 |