Juha Lehrbäck

activity

20092022

most citedDimensions, Whitney covers, and tubular neighborhoods

83 citations · 183 across the 10 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.AP2022

Capacities and density conditions in metric spaces

Javier Canto, Lizaveta Ihnatsyeva, Juha Lehrbäck +1

We examine the relations between different capacities in the setting of a metric measure space. First, we prove a comparability result for the Riesz $(β, p)$ -capacity and the relati…

math.AP2021★ 4 cited

Volume growth, capacity estimates, $p$ -parabolicity and sharp integrability properties of $p$ -harmonic Green functions

Anders Björn, Jana Björn, Juha Lehrbäck

In a complete metric space equipped with a doubling measure supporting a $p$ -Poincaré inequality, we prove sharp growth and integrability results for $p$ -harmonic Green functions a…

math.AP2015★ 7 cited

Uniqueness of diffusion on domains with rough boundaries

Juha Lehrbäck, Derek W. Robinson

Let $Ω$ be a domain in $R^{d}$ and $h (φ) = \sum_{k, l = 1}^{d} (\partial_{k} φ, c_{k l} \partial_{l} φ)$ a quadratic form on $L_{2} (Ω)$ with domain $C_{c}^{\infty} (Ω)$ where the $c_{k l}$ are real…

math.AP2009★ 31 cited

The equivalence between pointwise Hardy inequalities and uniform fatness

Riikka Korte, Juha Lehrbäck, Heli Tuominen

We prove an equivalence result between the validity of a pointwise Hardy inequality in a domain and uniform capacity density of the complement. This result is new even in Euclidean…

Capacities and density conditions in metric spaces

Volume growth, capacity estimates, p-parabolicity and sharp integrability properties of p-harmonic Green functions

Uniqueness of diffusion on domains with rough boundaries

The equivalence between pointwise Hardy inequalities and uniform fatness

Volume growth, capacity estimates, $p$ -parabolicity and sharp integrability properties of $p$ -harmonic Green functions