SHARP INEQUALITIES FOR MAXIMAL FUNCTIONS ASSOCIATED WITH GENERAL MEASURES

Authors
GRAFAKOS L KINNUNEN J
Citation
L. Grafakos et J. Kinnunen, SHARP INEQUALITIES FOR MAXIMAL FUNCTIONS ASSOCIATED WITH GENERAL MEASURES, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 128, 1998, pp. 717-723
Citations number
9
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
128
Year of publication
1998
Part
4
Pages
717 - 723
Database
ISI
SICI code
0308-2105(1998)128:<717:SIFMFA>2.0.ZU;2-#
Abstract
Sharp weak type (1, 1) and L-P estimates in dimension one are obtained for uncentred maximal functions associated with Borel measures which do not necessarily satisfy a doubling condition. In higher dimensions, uncentred maximal functions fail to satisfy such estimates. Analogous results for centred maximal functions are given in all dimensions.