Katrin Fässler

most citedKakeya maximal inequality in the Heisenberg group

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.CA2022★ 1 cited

Kakeya maximal inequality in the Heisenberg group

Katrin Fässler, Andrea Pinamonti, Pietro Wald

We define the Heisenberg Kakeya maximal functions $M_{δ} f$ , $0 < δ < 1$ , by averaging over $δ$ -neighborhoods of horizontal unit line segments in the Heisenberg group $H^{1}$ equip…

math.CA2022

Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences

Katrin Fässler, Tuomas Orponen

Let ${π_{e} : H \to W_{e} : e \in S^{1}}$ be the family of vertical projections in the first Heisenberg group $H$ . We prove that if $K \subset \ma…