Necessary and sufficient conditions governing two-weight norm estimates for multiple Hardy and potential operators are presented. Two-weight inequalities for potentials defined on nonhomogeneous spaces are also discussed. Sketches of the proofs for most of the results are given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-9,
author = {Vakhtang Kokilashvili and Alexander Meskhi},
title = {Two-weighted criteria for integral transforms with multiple kernels},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {119-140},
zbl = {1112.47039},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-9}
}
Vakhtang Kokilashvili; Alexander Meskhi. Two-weighted criteria for integral transforms with multiple kernels. Banach Center Publications, Tome 72 (2006) pp. 119-140. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-9/