15 citations · 24 across the 12 of their papers we have counts for
13 papers
Fractional Hardy inequalities and capacity density
Lizaveta Ihnatsyeva, Kaushik Mohanta, Antti V. Vähäkangas
We prove that a pointwise fractional Hardy inequality implies a fractional Hardy inequality, defined via a Gagliardo-type seminorm. The proof consists of two main parts. The first…
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 -capacity and the relati…
Hardy-Sobolev inequalities and weighted capacities in metric spaces
Lizaveta Ihnatsyeva, Juha Lehrbäck, Antti V. Vähäkangas
Let be an open set in a metric measure space . Our main result gives an equivalence between the validity of a weighted Hardy-Sobolev inequality in and quasiadditivity of…
Muckenhoupt -properties of distance functions and applications to Hardy-Sobolev -type inequalities
Bartłomiej Dyda, Lizaveta Ihnatsyeva, Juha Lehrbäck +2
Let be a metric space equipped with a doubling measure. We consider weights , where is a closed set in and . We estab…
Measure density and extension of Besov and Triebel-Lizorkin functions
Toni Heikkinen, Lizaveta Ihnatsyeva, Heli Tuominen
We show that a domain is an extension domain for a Hajłasz-Besov or for a Hajłasz-Triebel-Lizorkin space if and only if it satisfies a measure density condition. We use a modificat…
On improved fractional Sobolev-Poincaré inequalities
Bartłomiej Dyda, Lizaveta Ihnatsyeva, Antti V. Vähäkangas
We prove a certain improved fractional Sobolev-Poincaré inequality on John domains; the proof is based on the equivalence of the corresponding weak and strong type inequalities. We…