$M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition

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.

Bibliographic Details
Main Author: Liu Lanzheliu
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2013-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
BMO
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/16612