3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.MG2022★ 3 cited
Potential theory and quasisymmetric maps between compact Ahlfors regular metric measure spaces via Besov functions: preliminary
Juha Lehrback, Nageswari Shanmugalingam
We study Besov capacities in a compact Ahlfors regular metric measure space by means of hyperbolic fillings of the space. This approach is applicable even if the space does not sup…
math.CA2021
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…
math.CA2017
Fractional Hardy-Sobolev type inequalities for half spaces and John domains
Bartłomiej Dyda, Juha Lehrbäck, Antti V. Vähäkangas
As our main result we prove a variant of the fractional Hardy-Sobolev-Maz'ya inequality for half spaces. This result contains a complete answer to a recent open question by Musina…