Some estimates for commutators of the fractional maximal function on stratified Lie groups.

In this paper, the main aim is to consider the boundedness of the nonlinear commutator [ b , M α ] and the maximal commutator M α , b on the Lebesgue spaces over some stratified Lie group G when the symbol b belongs to the Lipschitz space. As a result, some new characterizations of the Lipschitz spaces on Lie group via [ b , M α ] and M α , b are given. [ABSTRACT FROM AUTHOR]