Poincaré inequalities and uniform rectifiability (Q1982543)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poincaré inequalities and uniform rectifiability |
scientific article |
Statements
Poincaré inequalities and uniform rectifiability (English)
0 references
14 September 2021
0 references
Summary: We show that any \(d\)-Ahlfors regular subset of \(\mathbb{R}^n\) supporting a weak \((1, d)\)-Poincaré inequality with respect to surface measure is uniformly rectifiable.
0 references
Poincaré inequalities
0 references
Loewner spaces
0 references
uniformly rectifiable sets
0 references
