A. Pinamonti

activity

20112026

most citedExistence and uniqueness theorems for some semi-linear equations on locally finite graphs

22 citations · 80 across the 66 of their papers we have counts for

collaborators

Showing math.CAShow all

4 papers · 1 filter

math.CA2026

Sharp refined-direction Kakeya estimates in finite Heisenberg groups

Thang Pham, Andrea Pinamonti, Dung The Tran +1

Let $n \geq 2$ and let $q$ be an odd prime power. The first aim of this paper is to prove that, for every $E \subset H_{n} (F_{q})$ and every $λ > 0$ , the following sharp…

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.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★ 1 cited

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…