Spectral estimates and asymptotics for stratified Lie groups

Published 28 Jan 2022 in math.FA | (2201.12349v1)

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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