Strong A-infinity weights are A-infinity weights on metric spaces

Abstract

We prove that every strong A-infinity weight is a Muckenhoupt weight in Ahlfors-regular metric measure spaces that support a Poincare inequality. We also explore the relations between various definitions for A-infinity weights in this setting, since some of these characterizations are needed in the proof of the main result.

15 pages

References in corpus (2)

• The Gehring Lemma in Metric Spaces
• Strong A-infinity weights, Besov and Sobolev capacities in metric measure spaces