Multilinear Spectral Multipliers on Lie Groups of Polynomial Growth

The Journal of Geometric Analysis（2020）

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摘要

In this paper, on Lie groups of polynomial growth, we make an estimation of the kernel function of multilinear spectral multipliers. Then as an application of this estimation, we prove the L^p boundedness and weighted L^p boundedness of such multilinear spectral multipliers.

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关键词

Multilinear spectral multipliers,Lie groups of polynomial growth,L^p boundedness,Weighted L^p boundedness

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