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arXiv · 2201.12349

Spectral estimates and asymptotics for stratified Lie groups

Edward McDonald·Fedor Sukochev·Dmitriy Zanin
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Abstract

We study Cwikel-type estimates for the singular values and Schatten $\mathcal{L}_p$-norms of compositions of multiplication and convolution operators acting on stratified Lie groups. This enables us to obtain novel spectral asymptotic formulas for certain operators derived from sub-Laplacians.

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Edward McDonald, Fedor Sukochev, Dmitriy Zanin. 2022-01-28. Spectral estimates and asymptotics for stratified Lie groups. https://arxiv.org/abs/2201.12349

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