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 L^{p}(R^{n}), 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