Lp spectral multipliers on the free group N3,2
Alessio Martini ; Detlef Müller
Studia Mathematica, Tome 215 (2013), p. 41-55 / Harvested from The Polish Digital Mathematics Library
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Let L be a homogeneous sublaplacian on the 6-dimensional free 2-step nilpotent Lie group N3,2 on three generators. We prove a theorem of Mikhlin-Hörmander type for the functional calculus of L, where the order of differentiability s > 6/2 is required on the multiplier.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:285822 
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     title = {$L^{p}$ spectral multipliers on the free group $N\_{3,2}$
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     journal = {Studia Mathematica},
     volume = {215},
     year = {2013},
     pages = {41-55},
     zbl = {1285.43002},
     language = {en},
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Alessio Martini; Detlef Müller. $L^{p}$ spectral multipliers on the free group $N_{3,2}$
            . Studia Mathematica, Tome 215 (2013) pp. 41-55. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-1-3/