Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups

Abstract

In this paper, we study the two weight commutators theorem of Riesz potential on an arbitrary homogeneous group H of dimension N. Moreover, in accordance with the results in the Euclidean space, we acquire the quantitative weighted bound on homogeneous group.

Keywords

• commutators
• Riesz potential
• homogeneous group