Differentiability from the representation formula and the Sobolev-Poincaré inequality

• Autorzy: Valentino Magnani
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 26B05: Continuity and differentiation questions
• 22E30: Analysis on real and complex Lie groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 168
• Numer: 3
• Strony: 251-272

Daty

wydano

2005

Twórcy

autor

Valentino Magnani

• Dipartimento di Matematica, Universitá di Pisa, via Buonarroti n. 2, 56127 Pisa, Italy

Identyfikatory

DOI

10.4064/sm168-3-5