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/