Katrin Fassler

activity

20182022

most citedA note on Kakeya sets of horizontal and

S L (2)

lines

3 citations · 3 across the 1 of their papers we have counts for

collaborators

4 papers

math.CA2022★ 3 cited

A note on Kakeya sets of horizontal and $S L (2)$ lines

Katrin Fässler, Tuomas Orponen

We consider unions of $S L (2)$ lines in $R^{3}$ . These are lines of the form $L = (a, b, 0) + span (c, d, 1),$ where $a d - b c = 1$ . We show that if $L$ is a…

math.CA2020

Planar incidences and geometric inequalities in the Heisenberg group

Katrin Fässler, Tuomas Orponen, Andrea Pinamonti

We prove that if $P, L$ are finite sets of $δ$ -separated points and lines in $R^{2}$ , the number of $δ$ -incidences between $P$ and $L$ is no larger than…

math.CA2019

Singular integrals on regular curves in the Heisenberg group

Katrin Fässler, Tuomas Orponen

Let $H$ be the first Heisenberg group, and let $k \in C^{\infty} (H ∖ {0})$ be a kernel which is either odd or horizontally odd, and satisfies $$|\…

math.CA2018

Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group

Katrin Fässler, Tuomas Orponen, Séverine Rigot

A Semmes surface in the Heisenberg group is a closed set $S$ that is upper Ahlfors-regular with codimension one and satisfies the following condition, referred to as Condition B. E…

A note on Kakeya sets of horizontal and SL(2) lines

Planar incidences and geometric inequalities in the Heisenberg group

Singular integrals on regular curves in the Heisenberg group

Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group

A note on Kakeya sets of horizontal and $S L (2)$ lines