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Restriction type estimates on general two-step stratified Lie groups

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arxiv 2304.12960 v4 pith:6HLKHLXL submitted 2023-04-25 math.AP math.FA

Lars Niedorf This is my paper · ORCID
classification math.APmath.FA
keywords estimatesgeneralgroupsrestrictionstratifiedtwo-steptypeanisotropic
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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 control the eigenvalue distribution of a family of anisotropic twisted Laplacians.

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Cited by 2 Pith papers

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

    math.AP 2025-01 conditional novelty 7.0 of 10

    For two-step stratified Lie groups with degenerate brackets satisfying Assumptions A and B, sharp-order p-specific spectral multiplier bounds hold for p up to an explicit range, extending nondegenerate results.

  2. Spectral multipliers on M\'etivier groups

    math.AP 2024-12 conditional novelty 7.0 of 10

    For sub-Laplacians on Metivier groups, L^p spectral multiplier estimates hold at the sharp regularity threshold s > d|1/p - 1/2| for a range of p.

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