A. Vähäkangas

activity

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

collaborators

5 papers

math.CA2018

A maximal function approach to two-measure Poincaré inequalities

Juha Kinnunen, Riikka Korte, Juha Lehrbäck +1

This paper extends the self-improvement result of Keith and Zhong in [16] to the two-measure case. Our main result shows that a two-measure $(p, p)$ -Poincaré inequality for $1<p<\in…

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…

math.CA2015

Beyond local maximal operators

Hannes Luiro, Antti V. Vähäkangas

We obtain (essentially sharp) boundedness results for certain generalized local maximal operators between fractional weighted Sobolev spaces and their modifications. Concrete bound…

math.CA2013

Hardy inequalities in Triebel-Lizorkin spaces II. Aikawa dimension

Lizaveta Ihnatsyeva, Antti V. Vähäkangas

We prove inequalities of Hardy type for functions in Triebel-Lizorkin spaces $F_{pq}^{s} (G)$ on a domain $G \subset R^{n}$ , whose boundary has the Aikawa dimension strictly less…