A note on the Poincaré inequality
Volume 154 / 2003
Studia Mathematica 154 (2003), 1-11 MSC: Primary 26D10, 46E35; Secondary 46E30. DOI: 10.4064/sm154-1-1
The Poincaré inequality is extended to uniformly doubling metric-measure spaces which satisfy a version of the triangle comparison property. The proof is based on a generalization of the change of variables formula.