Non Local Poincaré Inequalities on Lie Groups with Polynomial Volume Growth
نویسنده
چکیده
Let G be a real connected Lie group with polynomial volume growth, endowed with its Haar measure dx. Given a C positive function M on G, we give a sufficient condition for an L Poincaré inequality with respect to the measure M(x)dx to hold on G. We then establish a non-local Poincaré inequality on G with respect to M(x)dx.
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