Bloom-type two-weight inequalities for commutators of maximal functions

Abstract

We study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.

Keywords

• hardy-littlewood maximal function
• sharp maximal function
• commutator
• weights
• weighted bmo space
• 42b25
• 42b20
• 47b47