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math.PR2013

A refinement of Brascamp-Lieb-Poincare inequality in one dimension

Ionel Popescu

In this short note we give a refinement of Brascamp-Lieb in the style of Houdre-Kagan extension for Poincare inequality in one dimension. This is inspired by works of Helffer and L…

math.PR2013

Refinements of the One Dimensional Free Poincare Inequality

Christian Houdre, Ionel Popescu

We present two extensions of the one dimensional free Poincaré inequality similar in spirit to two classical refinements.