We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫0 x f of monotone functions.
@article{urn:eudml:doc:41698,
title = {Weighted norm inequalities for averaging operators of monotone functions.},
journal = {Publicacions Matem\`atiques},
volume = {35},
year = {1991},
pages = {429-447},
mrnumber = {MR1201565},
zbl = {0746.42014},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41698}
}
Neugebauer, Christoph J. Weighted norm inequalities for averaging operators of monotone functions.. Publicacions Matemàtiques, Tome 35 (1991) pp. 429-447. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41698/