English

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

Metric Geometry 2009-08-12 v1

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.

Cite

@article{arxiv.0908.1493,
  title  = {Strong A-infinity weights are A-infinity weights on metric spaces},
  author = {Riikka Korte and Outi Elina Maasalo},
  journal= {arXiv preprint arXiv:0908.1493},
  year   = {2009}
}

Comments

15 pages

R2 v1 2026-06-21T13:34:22.482Z