L^p-spectral multipliers for the Hodge Laplacian acting on 1-forms on the Heisenberg group
| dc.creator | Müller, Detlef | |
| dc.creator | Peloso, Marco M. | |
| dc.creator | Ricci, Fulvio | |
| dc.date | 2005-08-27 | |
| dc.date.accessioned | 2026-07-07T05:22:44Z | |
| dc.date.available | 2026-07-07T05:22:44Z | |
| dc.description | We prove that, if Δ_1 is the Hodge Laplacian acting on differential 1-forms on the (2n+1)-dimensional Heisenberg group, and if m is a Mihlin-Hörmander multiplier on the positive half-line, with L^2-order of smoothness greater than n+1/2, then m(Δ_1) is L^p-bounded for 1<p<\infty. Our approach leads to an explicit description of the spectral decomposition of Δ_1 on the space of L^2-forms in terms of the spectral analysis of the sub-Laplacian L and the central derivative T, acting on scalar-valued functions. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508543 | |
| dc.identifier | http://arxiv.org/abs/math/0508543 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76174 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 43A80, 42B15 | |
| dc.title | L^p-spectral multipliers for the Hodge Laplacian acting on 1-forms on the Heisenberg group | |
| dc.type | text |