Abstract
We prove that every strong A∞-weight is a Muckenhoupt weight in Ahlfors-regular metric measure spaces that support a Poincaré inequality. We also explore the relations between various definitions for A∞-weights in this setting, since some of these characterizations are needed in the proof of the main result.
| Original language | English |
|---|---|
| Pages (from-to) | 335-354 |
| Number of pages | 20 |
| Journal | Revista Matematica Iberoamericana |
| Volume | 27 |
| Issue number | 1 |
| Publication status | Published - 1 Dec 2011 |
| MoE publication type | A1 Journal article-refereed |
Keywords
- Metric doubling measure
- Metric spaces
- Muckenhoupt weights
- Strong a∞weight