1 citations · 1 across the 7 of their papers we have counts for
8 papers
Parabolic weak porosity and parabolic Muckenhoupt distance functions
Henri Lahdelma, Kim Myyryläinen, Antti V. Vähäkangas
We develop the parabolic weak porosity to characterize the parabolic Muckenhoupt weights with time-lag. Our main result shows that a nonempty closed set is parabolic weakly p…
Limits at infinity for Hajłasz-Sobolev functions in metric spaces
Angha Agarwal, Antti V. Vähäkangas
We study limits at infinity for homogeneous Hajlasz-Sobolev functions defined on uniformly perfect metric spaces equipped with a doubling measure. We prove that a quasicontinuous r…
Characterization of the upper Assouad codimension
Josh Kline, Antti V. Vähäkangas
We present a new notion, the upper Aikawa codimension, and establish its equivalence with the upper Assouad codimension in a metric space with a doubling measure. To achieve this r…
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…
Self-improvement of pointwise Hardy inequality
Sylvester Eriksson-Bique, Antti V. Vähäkangas
We prove the self-improvement of a pointwise -Hardy inequality. The proof relies on maximal function techniques and a characterization of the inequality by curves.
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…