Maximal functions on the unit n-sphere

Peter Martin Knopf

Vol. 129 (1987), No. 1, 77–84

DOI: 10.2140/pjm.1987.129.77

Abstract

It is shown that the Hardy-Littlewood maximal function on the unit sphere in n-space is weak-type (1,1) with a weak-type constant cn where c is independent of n.

Mathematical Subject Classification 2000

Primary: 42B25

Milestones

Received: 11 April 1986

Published: 1 September 1987

Correction: 14 May 2013