On weighted Poincaré inequalities

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Abstract

The aim of this note is to show that Poincaré inequalities imply corresponding weighted versions in a quite general setting. Fractional Poincaré inequalities are considered, too. The proof is short and does not involve covering arguments.

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Dyda, B., & Kassmann, M. (2013). On weighted Poincaré inequalities. Annales Academiae Scientiarum Fennicae Mathematica, 38(1), 721–726. https://doi.org/10.5186/aasfm.2013.3834

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