Characterızatıons of Lıpschıtz Functıons Vıa the Commutators of Fractıonal Maxımal Functıon in Orlıcz Spaces on Stratıfıed Lıe Groups

Abstract

In this paper we obtain necessary and sufficient conditions for the boundedness of the fractional maximal commutators Mb,α and the commutators of the fractional maximal operator [b,Mα] in Orlicz spaces L(G) on any stratified Lie group G when b belongs to Lipschitz spaces (G). We obtain some new characterizations for certain subclasses of Lipschitz spaces(G).