RT Journal Article
T1 First order Poincaré inequalities in metric measure spaces
A1 Durand-Cartagena, Estibalitz
AB We study a generalization of classical Poincare inequalities, and study conditions that link such an inequality with the first order calculus of functions in the metric measure space setting when the measure is doubling and the metric is complete. The first order calculus considered in this paper is based on the approach of the upper gradient notion of Heinonen and Koskela [HeKo]. We show that under a Vitali type condition on the BMO-Poincare type inequality of Franchi, Perez and Wheeden [FPW], the metric measure space should also support a p-Poincare inequality for some 1 <= p < infinity, and that under weaker assumptions, the metric measure space supports an infinity-Poincare inequality in the sense of [DJS].
PB Suomalainen tiedeakatemia
SN 1239-629X
YR 2013
FD 2013
LK https://hdl.handle.net/20.500.14352/33288
UL https://hdl.handle.net/20.500.14352/33288
LA eng
NO Simons Foundation (USA)
DS Docta Complutense
RD 18 abr 2025