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A Poincaré Inequality for Functions with Locally Bounded Variation in R^d

Commun. Math. Anal.
Volume 20, Number 1 (2017), 83 - 106

A Poincaré Inequality for Functions with Locally Bounded Variation in R^d

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Abstract

We prove a weighted Poincar\'e inequality in a subspace of $BV_\text{loc}$ whose elements have variation measure in a Wiener amalgam space of Radon measures.