New Calderón–Zygmund decomposition for Sobolev functions
Volume 121 / 2010
Colloquium Mathematicum 121 (2010), 153-177
MSC: Primary 42B20; Secondary 46E35.
DOI: 10.4064/cm121-2-1
Abstract
We give a new Calderón–Zygmund decomposition for Sobolev spaces on a doubling Riemannian manifold. Our hypotheses are weaker than those of the already known decomposition which used classical Poincaré inequalities.
