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<p>In this article, we establish weighted estimates for a general class of lacunary maximal functions on homogeneous groups. As an application, we derive weighted estimates for the lacunary maximal function associated to the Korányi spherical means as well as for the lacunary maximal function associated to codimension two spheres in the Heisenberg group, which improves upon previously known results.</p>

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Weighted estimates for lacunary maximal functions on homogeneous groups

  • 期刊论文

  • 发表日期：

    2026年2月16日

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  • Abhishek Ghosh,
  • Rajesh K. Singh

摘要

In this article, we establish weighted estimates for a general class of lacunary maximal functions on homogeneous groups. As an application, we derive weighted estimates for the lacunary maximal function associated to the Korányi spherical means as well as for the lacunary maximal function associated to codimension two spheres in the Heisenberg group, which improves upon previously known results.