Some conditions implying vector-valued inequalities for the commutator of a fractional integral and a fractional maximal operator are established. The results obtained are substantial improvements and extensions of some known results.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-2-1, author = {Yanping Chen and Xinfeng Wu and Honghai Liu}, title = {Vector-valued inequalities for the commutators of fractional integrals with rough kernels}, journal = {Studia Mathematica}, volume = {223}, year = {2014}, pages = {97-122}, zbl = {1311.42033}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-2-1} }
Yanping Chen; Xinfeng Wu; Honghai Liu. Vector-valued inequalities for the commutators of fractional integrals with rough kernels. Studia Mathematica, Tome 223 (2014) pp. 97-122. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-2-1/