Maximal Functions: Spherical Means
Abstract
Let [unk](f)(x) denote the supremum of the averages of f taken over all (surfaces of) spheres centered at x. Then f → [unk](f) is bounded on Lp(Rn), whenever p > n/(n - 1), and n ≥ 3.
- Publication:
-
Proceedings of the National Academy of Science
- Pub Date:
- July 1976
- DOI:
- 10.1073/pnas.73.7.2174
- Bibcode:
- 1976PNAS...73.2174S