Iterated commutators of multilinear Calderón–Zygmund maximal operators on some function spaces

Abstract

Abstract Let T∗ $T^{*}$ be a multilinear Calderón–Zygmund maximal operator. In this paper, we study iterated commutators of T∗ $T^{*}$ and pointwise multiplication with functions in Lipschitz spaces. More precisely, we give some new estimates for this kind of commutators under some Dini-type conditions on Lebesgue spaces, homogenous Lipschitz spaces, and homogenous Triebel–Lizorkin spaces.

Keywords

• Maximal multilinear operators
• Calderón–Zygmund operator
• Commutators