Journal Menu
SHARP MAXIMAL FUNCTION INEQUALITY FOR ITERATED COMMUTATOR RELATED TO SINGULAR INTEGRAL OPERATORS SATISFYING A VARIANT OF HÖRMANDER’S CONDITION
Author(s) : Zhangqi Xie and Lanzhe Liu
Pages : [1] - [15]
Received : January 25, 2016; Revised February 25, 2016
Pages : [1] - [15]
Received : January 25, 2016; Revised February 25, 2016
Abstract
In this paper, we establish the sharp maximal function estimate for the iterated commutator related to some singular integral operators satisfying a variant of Hörmander’s condition. As the application, we obtain the boundedness of the iterated commutator on Lebesgue and Morrey spaces.
Keywords
iterated commutator, singular integral operator, sharp maximal estimate, BMO, Morrey space.