Katrin Fässler

activity

20172026

most citedIsometric Embeddings into Heisenberg Groups

10 citations · 15 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.CA2021

Loomis-Whitney inequalities in Heisenberg groups

Katrin Fässler, Andrea Pinamonti

This note concerns Loomis-Whitney inequalities in Heisenberg groups $H^{n}$ : $∣ K ∣ ≲ j = 1 \prod 2 n ∣ π_{j} (K) ∣^{\frac{n + 1}{n ( 2 n + 1 )}}, K \subset H^{n} .$ …

math.CA2020★ 2 cited

Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups

Daniela Di Donato, Katrin Fässler

This note concerns low-dimensional intrinsic Lipschitz graphs, in the sense of Franchi, Serapioni, and Serra Cassano, in the Heisenberg group $H^{n}$ , $n \in N$ . For…

math.CA2019

Vertical versus horizontal Sobolev spaces

Katrin Fässler, Tuomas Orponen

Let $α \geq 0$ , $1 < p < \infty$ , and let $H^{n}$ be the Heisenberg group. Folland in 1975 showed that if $f : H^{n} \to R$ is a function in the hori…

math.CA2019

Dorronsoro's theorem in Heisenberg groups

Katrin Fässler, Tuomas Orponen

A theorem of Dorronsoro from the 1980s quantifies the fact that real-valued Sobolev functions on Euclidean spaces can be approximated by affine functions almost everywhere, and at…