In the paper we obtain a precise characterization of Hardy type inequalities with weights for the negative indices and the indices between 0 and 1 and establish a duality between these cases.
@article{urn:eudml:doc:41500, title = {Weighted Hardy's inequalities for negative indices.}, journal = {Publicacions Matem\`atiques}, volume = {48}, year = {2004}, pages = {423-443}, zbl = {1068.26022}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41500} }
Prokhorov, Dmitryi V. Weighted Hardy's inequalities for negative indices.. Publicacions Matemàtiques, Tome 48 (2004) pp. 423-443. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41500/