THE DERIVATIVE OF THE MAXIMAL-FUNCTION

Authors
KINNUNEN J LINDQVIST P
Citation
J. Kinnunen et P. Lindqvist, THE DERIVATIVE OF THE MAXIMAL-FUNCTION, Journal fur die Reine und Angewandte Mathematik, 503, 1998, pp. 161-167
Citations number
3
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal fur die Reine und Angewandte Mathematik → ACNP
ISSN journal
00754102
Volume
503
Year of publication
1998
Pages
161 - 167
Database
ISI
SICI code
0075-4102(1998)503:<161:TDOTM>2.0.ZU;2-N
Abstract
In this note we show that the local Hardy-Littlewood maximal operator is bounded in the Sobolev space. Thus the maximal function often has p artial derivatives. We also show that the maximal operator preserves t he zero boundary values in Sobolev's sense.