The Spaces Of Lipschitz And Commutators On Spaces Of Homogeneous Type

In this paper, we firstly prove the equivalence of several norms on spaces of Lipschitz on spaces of Homogeneous type. Secondly we obtain the John-Nirenberg inequality on spaces of Lipschitz, namely, there are A>0, c< , such that for each Lip() and each ball B, we haveLastly we define the two commutators C,Cf using the Lipschitz functions on spaces of homogeneous type and gain their boundedness on some function spaces.