$L^p$ bounds for spectral multipliers on rank one NA-groups with roots not all positive

Emilie David-Guillou. "$L^{p}$ bounds for spectral multipliers on rank one NA-groups with roots not all positive." Colloquium Mathematicae 101.1 (2004): 51-74. <http://eudml.org/doc/284019>.

@article{EmilieDavid2004,
abstract = {We consider a family of non-unimodular rank one NA-groups with roots not all positive, and we show that on these groups there exists a distinguished left invariant sub-Laplacian which admits a differentiable $L^\{p\}$ functional calculus for every p ≥ 1.},
author = {Emilie David-Guillou},
journal = {Colloquium Mathematicae},
keywords = {sub-Laplacian; solvable Lie group; stratified group; exponential volume growth; multiplier theorem; differentiable functional calculus},
language = {eng},
number = {1},
pages = {51-74},
title = {$L^\{p\}$ bounds for spectral multipliers on rank one NA-groups with roots not all positive},
url = {http://eudml.org/doc/284019},
volume = {101},
year = {2004},
}

TY - JOUR
AU - Emilie David-Guillou
TI - $L^{p}$ bounds for spectral multipliers on rank one NA-groups with roots not all positive
JO - Colloquium Mathematicae
PY - 2004
VL - 101
IS - 1
SP - 51
EP - 74
AB - We consider a family of non-unimodular rank one NA-groups with roots not all positive, and we show that on these groups there exists a distinguished left invariant sub-Laplacian which admits a differentiable $L^{p}$ functional calculus for every p ≥ 1.
LA - eng
KW - sub-Laplacian; solvable Lie group; stratified group; exponential volume growth; multiplier theorem; differentiable functional calculus
UR - http://eudml.org/doc/284019
ER -