spectral multipliers on the free group N_{3,2}
Tom 217 / 2013
Studia Mathematica 217 (2013), 41-55
MSC: Primary 43A22; Secondary 42B15.
DOI: 10.4064/sm217-1-3
Streszczenie
Let L be a homogeneous sublaplacian on the 6-dimensional free 2-step nilpotent Lie group N_{3,2} 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.
