In this paper, we prove the $M^k$-type sharp maximal function estimates for the commutators related to some singular integral operators satisfying a variant of Hörmander's condition. As an application, we obtain the weighted boundedness of the commutators on Lebesgue and Morrey spaces.
@article{16612,
title = {$M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of H\"ormander's condition},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {31},
year = {2013},
doi = {10.5269/bspm.v31i2.16612},
language = {EN},
url = {http://dml.mathdoc.fr/item/16612}
}
Lanzheliu, Liu. $M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition. Boletim da Sociedade Paranaense de Matemática, Tome 31 (2013) . doi : 10.5269/bspm.v31i2.16612. http://gdmltest.u-ga.fr/item/16612/