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

• Autorzy: Emilie David-Guillou
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 43A15: L p -spaces and other function spaces on groups, semigroups, etc.
• 43A80: Analysis on other specific Lie groups
• 22E25: Nilpotent and solvable Lie groups
• 47A60: Functional calculus
• 22E30: Analysis on real and complex Lie groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 101
• Numer: 1
• Strony: 51-74

Daty

wydano

2004

Twórcy

autor

Emilie David-Guillou

• Institut de Mathématiques, Université Pierre et Marie Curie - Paris VI, 4, place Jussieu, 75252 Paris Cedex 05, France

Identyfikatory

DOI

10.4064/cm101-1-4