52 citations · 62 across the 6 of their papers we have counts for
6 papers
Kakeya maximal inequality in the Heisenberg group
Katrin Fässler, Andrea Pinamonti, Pietro Wald
We define the Heisenberg Kakeya maximal functions , , by averaging over -neighborhoods of horizontal unit line segments in the Heisenberg group equip…
Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences
Katrin Fässler, Tuomas Orponen
Let be the family of vertical projections in the first Heisenberg group . We prove that if $K \subset \ma…
A Koebe distortion theorem for quasiconformal mappings in the Heisenberg group
Tomasz Adamowicz, Katrin Fässler, Ben Warhurst
We prove a Koebe distortion theorem for the average derivative of a quasiconformal mapping between domains in the sub-Riemannian Heisenberg group . Several auxiliary…
Quasiregular mappings on sub-Riemannian manifolds
Katrin Fassler, Anton Lukyanenko, Kirsi Peltonen
We study mappings on sub-Riemannian manifolds which are quasi-regular with respect to the Carnot-Caratheodory distances and discuss several related notions. On H-type Carnot groups…
On restricted families of projections in R^3
Katrin Fässler, Tuomas Orponen
We study projections onto non-degenerate one-dimensional families of lines and planes in . Using the classical potential theoretic approach of R. Kaufman, one can s…
Constancy results for special families of projections
Katrin Fässler, Tuomas Orponen
Let {\mathbb{V} = V x R^l : V \in G(n-l,m-l)} be the family of m-dimensional subspaces of R^n containing {0} x R^l, and let π_{\mathbb{V}} : R^n --> \mathbb{V} be the orthogonal pr…