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

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

2009-08-11

arxiv.org/abs/0908.1493v1

Mathematics

Metric Geometry

15 pages

Scientific paper

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.

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