Lars Niedorf

collaborators

6 papers

math.CA2026

Bochner-Riesz means on the Heisenberg group

Detlef MÃ¼ller, Lars Niedorf, Andreas Seeger +1

We prove new $L^{p}$ boundedness results for Bochner-Riesz means associated with the spectral decomposition of the sub-Laplacian on the Heisenberg group $H_{n}$ . Our results ho…

math.AP2025

Spectral multipliers on two-step stratified Lie groups with degenerate group structure

Lars Niedorf

Let $L$ be a sub-Laplacian on a two-step stratified Lie group $G$ of topological dimension $d$ . We prove new $L^{p}$ -spectral multiplier estimates under the sharp regularity conditio…

math.AP2025

Spectral multipliers on MÃ©tivier groups

Lars Niedorf

We prove an $L^{p}$ -spectral multiplier theorem under the sharp regularity condition $s > d ∣ 1/ p - 1/2 ∣$ for sub-Laplacians on MÃ©tivier groups. The proof is based on a res…

math.AP2025

Restriction type estimates on general two-step stratified Lie groups

Lars Niedorf

We prove restriction type estimates for sub-Laplacians on general two-step stratified Lie groups. The core of our approach is to use spectral cluster estimates to effectively contr…

math.AP2025

An $L^{p}$ -spectral multiplier theorem with sharp $p$ -specific regularity bound on Heisenberg type groups

Lars Niedorf

We prove an $L^{p}$ -spectral multiplier theorem for sub-Laplacians on Heisenberg type groups under the sharp regularity condition $s > d ∣ 1/ p - 1/2 ∣$ , where $d$ is the topologi…

math.AP2025

A $p$ -specific spectral multiplier theorem with sharp regularity bound for Grushin operators

Lars Niedorf

In a recent work, P. Chen and E. M. Ouhabaz proved a $p$ -specific $L^{p}$ -spectral multiplier theorem for the Grushin operator acting on $R^{d_{1}} \times R^{d_{2}}$ whic…

Bochner-Riesz means on the Heisenberg group

Spectral multipliers on two-step stratified Lie groups with degenerate group structure

Spectral multipliers on MÃ©tivier groups

Restriction type estimates on general two-step stratified Lie groups

An Lp-spectral multiplier theorem with sharp p-specific regularity bound on Heisenberg type groups

A p-specific spectral multiplier theorem with sharp regularity bound for Grushin operators

An $L^{p}$ -spectral multiplier theorem with sharp $p$ -specific regularity bound on Heisenberg type groups

A $p$ -specific spectral multiplier theorem with sharp regularity bound for Grushin operators