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2017 A Poincaré Inequality for Functions with Locally Bounded Variation in $\mathbb{R}^{d}$
Bacary Savadogo, Ibrahim Fofana
Commun. Math. Anal. 20(1): 83-106 (2017).

Abstract

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

Citation

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Bacary Savadogo. Ibrahim Fofana. "A Poincaré Inequality for Functions with Locally Bounded Variation in $\mathbb{R}^{d}$." Commun. Math. Anal. 20 (1) 83 - 106, 2017.

Information

Published: 2017
First available in Project Euclid: 15 July 2017

zbMATH: 1370.42017
MathSciNet: MR3665391

Subjects:
Primary: 42B25 , 42B35 , 46E35

Keywords: amalgams spaces , fractional maximal operator , Poincaré inequality , Radon measure , Riesz potential

Rights: Copyright © 2017 Mathematical Research Publishers

Vol.20 • No. 1 • 2017
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