Differentiability from the representation formula and the Sobolev–Poincaré inequality
Tom 168 / 2005
Studia Mathematica 168 (2005), 251-272 MSC: Primary 26B05; Secondary 22E30. DOI: 10.4064/sm168-3-5
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.