Heli Tuominen

activity

20092017

most citedThe equivalence between pointwise Hardy inequalities and uniform fatness

31 citations · 88 across the 10 of their papers we have counts for

collaborators

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4 papers · 1 filter

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

Self-improvement of uniform fatness revisited

Juha Lehrbäck, Heli Tuominen, Antti V. Vähäkangas

We give a new proof for the self-improvement of uniform p-fatness in the setting of general metric spaces. Our proof is based on rather standard methods of geometric analysis, and…

math.CA2015

Removable singularities for div v = f in weighted Lebesgue spaces

Laurent Moonens, Emmanuel Russ, Heli Tuominen

Let $w \in L^{1}_l oc (R^{n})$ be apositive weight. Assuming that a doubling condition and an $L^{1}$ Poincaré inequality on balls for the measure $w (x) d x$ , as well as a growth conditio…

math.CA2013★ 15 cited

Fractional Hardy inequalities and visibility of the boundary

Lizaveta Ihnatsyeva, Juha Lehrbäck, Heli Tuominen +1

We prove fractional order Hardy inequalities on open sets under a combined fatness and visibility condition on the boundary. We demonstrate by counterexamples that fatness conditio…

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

Self-improvement of uniform fatness revisited

Removable singularities for div v = f in weighted Lebesgue spaces

Fractional Hardy inequalities and visibility of the boundary

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