2 citations · 2 across the 3 of their papers we have counts for
4 papers
On the duality of moduli in arbitrary codimension
Atte Lohvansuu
We study the duality of moduli of k- and (n-k)-dimensional slices of euclidean n-cubes, and establish the optimal upper bound 1.
Duality of moduli in regular toroidal metric spaces
Atte Lohvansuu
We generalize a result of Freedman and He, concerning the duality of moduli and capacities in solid tori, to sufficiently regular metric spaces. This is a continuation of the work…
Duality of moduli in regular metric spaces
Atte Lohvansuu, Kai Rajala
F. Gehring and W. Ziemer proved that the p-modulus of the family of paths connecting two continua is dual to the p^*-modulus of the corresponding family of separating hypersurfaces…
Quasispheres and metric doubling measures
Atte Lohvansuu, Kai Rajala, Martti Rasimus
Applying the Bonk-Kleiner characterization of Ahlfors 2-regular quasispheres, we show that a metric two-sphere is a quasisphere if and only if is linearly locally connected…