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arXiv · 1210.8090

$L^p$ spectral multipliers on the free group $N_{3,2}$

Alessio Martini·Detlef Müller
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Abstract

Let $L$ be the homogeneous sublaplacian on the 6-dimensional free 2-step nilpotent group $N_{3,2}$ on 3 generators. We prove a theorem of Mihlin-Hörmander type for the functional calculus of $L$, where the order of differentiability $s > 6/2$ is required on the multiplier.

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Alessio Martini, Detlef Müller. 2012-10-30. $L^p$ spectral multipliers on the free group $N_{3,2}$. https://doi.org/10.4064/sm217-1-3

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