Sufficient conditions are derived in order that there exist strong-type weighted norm inequalities for some off-centered maximal functions. The maximal functions are of Hardy-Littlewood and fractional types taken over starlike sets in Rn. The sufficient conditions are close to necessary and extend some previously known weak-type results.
@article{urn:eudml:doc:41539,
title = {Norm inequalities for off-centered maximal operators.},
journal = {Publicacions Matem\`atiques},
volume = {37},
year = {1993},
pages = {429-441},
mrnumber = {MR1249242},
zbl = {0848.42013},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41539}
}
Wheeden, Richard L. Norm inequalities for off-centered maximal operators.. Publicacions Matemàtiques, Tome 37 (1993) pp. 429-441. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41539/