An extrapolation theorem in the setting of Hausdorff capacities

Abstract

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. © The Author(s), under exclusive licence to Universitat de Barcelona 2026.