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math.AP2025

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

Lars Niedorf

Let be a sub-Laplacian on a two-step stratified Lie group of topological dimension . We prove new -spectral multiplier estimates under the sharp regularity conditio…

math.AP2025

Spectral multipliers on Métivier groups

Lars Niedorf

We prove an -spectral multiplier theorem under the sharp regularity condition for sub-Laplacians on Métivier 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 -spectral multiplier theorem with sharp -specific regularity bound on Heisenberg type groups

Lars Niedorf

We prove an -spectral multiplier theorem for sub-Laplacians on Heisenberg type groups under the sharp regularity condition , where is the topologi…

math.AP2025

A -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 -specific -spectral multiplier theorem for the Grushin operator acting on whic…