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A note on second order Riesz transforms in 3-dimensional Lie groups

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arxiv 2003.09931 v1 pith:LOA3BOC7 submitted 2020-03-22 math.PR math.FA

A note on second order Riesz transforms in 3-dimensional Lie groups

classification math.PR math.FA
keywords mathbbgroupsorderrieszsecondtransformsboundsdimensional
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We prove explicit $L^p$ bounds for second order Riesz transforms of the sub-Laplacian in the Lie groups $\mathbb H$, $\mathbb{SU}(2)$ and $\mathbb{SL}(2)$

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