Maximal functions: Spherical means
- 1 July 1976
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 73 (7) , 2174-2175
- https://doi.org/10.1073/pnas.73.7.2174
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.Keywords
This publication has 1 reference indexed in Scilit:
- A maximal function associated to the curve ( t, t 2 )Proceedings of the National Academy of Sciences, 1976