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Fourier multipliers on graded Lie groups
Fischer, Veronique...

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Fourier multipliers on graded Lie groups by Fischer, Veronique ( Author )
Lemonjar Open Access
N.A
25-11-2014
In this paper we study multipliers on graded nilpotent Lie groups defined via group Fourier transform. More precisely, we show that Hörmander type conditions on the Fourier multipliers imply Lp-boundedness. We express these conditions using difference operators and positive Rockland operators. We also obtain a more refined condition using Sobolev spaces on the dual of the group which are defined and studied in this paper.
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Article
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36.88 KB
English
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MYR 0.01
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http://arxiv.org/abs/1411.6950
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