Differentiability from the representation formula and the Sobolev–Poincaré inequality
Volume 168 / 2005
Studia Mathematica 168 (2005), 251-272
MSC: Primary 26B05; Secondary 22E30.
DOI: 10.4064/sm168-3-5
Abstract
In the geometries of stratified groups, we provide differentiability theorems for both functions of bounded variation and Sobolev functions. Proofs are based on a systematic application of the Sobolev–Poincaré inequality and the so-called representation formula.
