title: Lipschitz estimates for commutators of singular integral operators associated with the sections.
abstract: LetHbe Monge-Ampère singular integral operator, [Formula: see text], and [Formula: see text]. It is proved that the commutator [Formula: see text] is bounded from [Formula: see text] to [Formula: see text] for [Formula: see text] and from [Formula: see text] to [Formula: see text] for [Formula: see text]. For the extreme case [Formula: see text], a weak estimate is given.
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046 Republic of China.
authors.forename: Guangqing
authors.initials: G
authors.lastname: Wang
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046 Republic of China.
authors.forename: Jiang
authors.initials: J
authors.lastname: Zhou
keywords: Hardy spaces; Lipschitz function; commutator; sections