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/