Data di Pubblicazione:
2014
Citazione:
Analysis of the Hodge Laplacian on the Heisenberg group / D. Muller, M.M. Peloso, F. Ricci. - In: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 1947-6221. - 233:1095(2014), pp. 1-91. [10.1090/memo/1095]
Abstract:
We consider the Hodge Laplacian Δ on the Heisenberg group Hn, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0≤k≤2n+1, let Δk denote the Hodge Laplacian restricted to k-forms.
In this paper we address three main, related questions:
whether the L2 and Lp-Hodge decompositions, 1
(2n+1)/2 and prove that this restriction on ρ is optimal. Finally, we extend this multiplier theorem to the Dirac operator.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Hodge Laplacian; Heisenberg group
Elenco autori:
D. Muller, M.M. Peloso, F. Ricci
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