On Poincare-Wirtinger inequalities in spaces of functions of bounded variation

Maïtine Bergounioux (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

The goal of this paper is to extend Poincaré-Wirtinger inequalities from Sobolev spaces to spaces of functions of bounded variation of second order. We give an application to an image processing variational problem.

Mots clés: Measure theory

Domaines: Analyse fonctionnelle [math.FA]

Maïtine Bergounioux. On Poincare-Wirtinger inequalities in spaces of functions of bounded variation. 2010. ⟨hal-00515451v1⟩