- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:43
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
15
1999
2
$L^p$-estimates for the wave equation on the Heisenberg group
Detlef
Müller
Christian-Albrechts-Universität zu Kiel, KIEL, GERMANY
Elias
Stein
Princeton University, PRINCETON, UNITED STATES
Let $\mathcal L$ denote the sub- Laplacian on the Heisenberg group $\mathbb H_m$. We prove that $e^{i\sqrt {–\mathcal L}}$ $/(1 – \mathcal L)^{\alpha/2}$ extends to a bounded operator on $L^p (\mathbb H_m)$, for $1 ≤ p ≤ \infty$, when $\alpha > (d–1) | 1/p – 1/2|$.
General
297
334
10.4171/RMI/258
http://www.ems-ph.org/doi/10.4171/RMI/258