Published July 2016
| Submitted
Journal Article
Open
Maximizers for the Stein–Tomas Inequality
Chicago
An error occurred while generating the citation.
Abstract
We give a necessary and sufficient condition for the precompactness of all optimizing sequences for the Stein–Tomas inequality. In particular, if a well-known conjecture about the optimal constant in the Strichartz inequality is true, we obtain the existence of an optimizer in the Stein–Tomas inequality. Our result is valid in any dimension.
Additional Information
© 2016 Springer International Publishing. Received: March 21, 2016. Accepted: August 3, 2016. Published online October 4, 2016. R.L.F. and J.S. would like to thank D. Oliveira e Silva and C. Thiele for the summer school 'Sharp inequalities in harmonic analysis' in August 2015 which stimulated our interest in this project. Partial support by U.S. National Science Foundation DMS-1363432 (R.L.F.) and PHY-1265118 (E.H.L.) is acknowledged.Attached Files
Submitted - 1603.07658v1.pdf
Files
1603.07658v1.pdf
Files
(417.9 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:61ec0ee2391eb69b3884f1580966e9d9
|
417.9 kB | Preview Download |
Additional details
- Eprint ID
- 72363
- DOI
- 10.1007/s00039-016-0380-9
- Resolver ID
- CaltechAUTHORS:20161129-084514277
- NSF
- DMS-1363432
- NSF
- PHY-1265118
- Created
-
2016-11-29Created from EPrint's datestamp field
- Updated
-
2021-11-11Created from EPrint's last_modified field