We prove that the discrete spherical maximal function extends to a bounded operator from L d/(d-2),1(ℤ d) to L d/(d-2),(ℤ d) in dimensions d ≥ 5. This is an endpoint estimate for a recent theorem of Magyar, Stein and Wainger.
|Original language||English (US)|
|Number of pages||7|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - May 2004|
All Science Journal Classification (ASJC) codes
- Applied Mathematics