Proves L^p bounds for Stein's square function on Métivier groups with smoothness threshold in terms of topological dimension d, giving alternate proofs of sharp spectral multiplier bounds and applications to maximal Bochner-Riesz operators, pointwise convergence, fractional Schrödinger regularity, a
[Nie25b] Lars Niedorf,Spectral multipliers on M´ etivier groups, Studia Math.282(2025), no
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Stein's square function associated with the Bochner-Riesz means on M\'etivier groups and its applications
Proves L^p bounds for Stein's square function on Métivier groups with smoothness threshold in terms of topological dimension d, giving alternate proofs of sharp spectral multiplier bounds and applications to maximal Bochner-Riesz operators, pointwise convergence, fractional Schrödinger regularity, a