Abstract
It is proved that the local smoothing conjecture for wave equations implies certain improvements on Stein’s analytic family of maximal spherical means. Some related problems are also discussed.
Original language | English |
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Pages (from-to) | 4269-4282 |
Number of pages | 14 |
Journal | Proceedings of the American Mathematical Society |
Volume | 145 |
Issue number | 10 |
DOIs | |
Publication status | Published - 2017 |
Externally published | Yes |
Keywords
- Local smoothing
- Maximal spherical means
- Oscillatory integral
- Wave equation