A weighted theory describing Morrey boundedness of fractional integral operators and fractional maximal operators is developed. A new class of weights adapted to Morrey spaces is proposed and a passage to the multilinear cases is covered.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm205-2-2,
author = {Takeshi Iida and Enji Sato and Yoshihiro Sawano and Hitoshi Tanaka},
title = {Weighted norm inequalities for multilinear fractional operators on Morrey spaces},
journal = {Studia Mathematica},
volume = {204},
year = {2011},
pages = {139-170},
zbl = {1234.42012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm205-2-2}
}
Takeshi Iida; Enji Sato; Yoshihiro Sawano; Hitoshi Tanaka. Weighted norm inequalities for multilinear fractional operators on Morrey spaces. Studia Mathematica, Tome 204 (2011) pp. 139-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm205-2-2/