Spectral multipliers on a class of NA groups with rank two

We consider a family of real NA groups with rank two, and we prove that these groups have sub-Laplacians with differentiable L p functional calculus for all p ⩾ 1 .

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Bibliographic Details
Published in:Journal of functional analysis 2006-09, Vol.238 (2), p.734-750
Main Author: David-Guillou, Emilie
Format: Article
Language:English
Subjects:
Differentiable functional calculus
Exponential growth of the volume
Solvable Lie group
Spectral multiplier
Sub-Laplacian
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Description
Summary:We consider a family of real NA groups with rank two, and we prove that these groups have sub-Laplacians with differentiable L p functional calculus for all p ⩾ 1 .
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2006.04.023