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arXiv · 2411.01557

Weighted estimates for lacunary maximal functions on homogeneous groups

Abhishek Ghosh·Rajesh K. Singh
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Abstract

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 in the Heisenberg group.

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Abhishek Ghosh, Rajesh K. Singh. 2024-11-03. Weighted estimates for lacunary maximal functions on homogeneous groups. https://arxiv.org/abs/2411.01557

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