TY - JOUR AU - Durand-Cartagena, Estibalitz PY - 2013 DO - 10.5186/aasfm.2013.3825 SN - 1239-629X UR - https://hdl.handle.net/20.500.14352/33288 T2 - Annales academiae scientiarum fennicae-mathematica 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... LA - eng M2 - 287 PB - Suomalainen tiedeakatemia KW - Poincare inequality KW - BMO-Poincare inequality KW - quasiconvexity KW - Lipschitz functions KW - Newtonian functions KW - thick quasiconvexity TI - First order Poincaré inequalities in metric measure spaces TY - journal article VL - 38 ER -