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Weighted estimates for lacunary maximal functions on homogeneous groups

Weighted estimates for lacunary maximal functions on homogeneous groups

In this article, we study weighted estimates for a general class of lacunary maximal functions on homogeneous groups. As an application we derive improved weighted estimates for the lacunary maximal function associated to the Kor\'anyi spherical means as well as for the lacunary maximal function associated to codimension two spheres …