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<p>In this article, we prove an analogue of the Rubio de Francia’s extrapolation theorem in the setting of Hausdorff capacities. We prove the result using techniques analogous to those in the classical setting and using the recently developed theory of capacitary Muckenhoupt weights.</p>

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An extrapolation theorem in the setting of Hausdorff capacities

  • 期刊论文

  • 发表日期：

    2026年6月19日

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  • Aniruddha Deshmukh

摘要

In this article, we prove an analogue of the Rubio de Francia’s extrapolation theorem in the setting of Hausdorff capacities. We prove the result using techniques analogous to those in the classical setting and using the recently developed theory of capacitary Muckenhoupt weights.