A. Vähäkangas

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20132018

most citedMaximal function estimates and self-improvement results for Poincaré inequalities

3 citations · 3 across the 3 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.CA2017★ 3 cited

Maximal function estimates and self-improvement results for Poincaré inequalities

Juha Kinnunen, Juha Lehrbäck, Antti V. Vähäkangas +1

Our main result is an estimate for a sharp maximal function, which implies a Keith-Zhong type self-improvement property of Poincaré inequalities related to differentiable structure…

math.CA2017

Muckenhoupt $A_{p}$ -properties of distance functions and applications to Hardy-Sobolev -type inequalities

Bartłomiej Dyda, Lizaveta Ihnatsyeva, Juha Lehrbäck +2

Let $X$ be a metric space equipped with a doubling measure. We consider weights $w (x) = dist (x, E)^{- α}$ , where $E$ is a closed set in $X$ and $α \in R$ . We estab…

Maximal function estimates and self-improvement results for Poincaré inequalities

Muckenhoupt Ap​-properties of distance functions and applications to Hardy-Sobolev -type inequalities

Muckenhoupt $A_{p}$ -properties of distance functions and applications to Hardy-Sobolev -type inequalities