L-p-estimates for the wave equation on the Heisenberg group

Citation
D. Muller et Em. Stein, L-p-estimates for the wave equation on the Heisenberg group, REV MAT IBE, 15(2), 1999, pp. 297-334
Citations number
20
Categorie Soggetti
Mathematics
Journal title
REVISTA MATEMATICA IBEROAMERICANA
ISSN journal
02132230 → ACNP
Volume
15
Issue
2
Year of publication
1999
Pages
297 - 334
Database
ISI
SICI code
0213-2230(1999)15:2<297:LFTWEO>2.0.ZU;2-F
Abstract
Let L denote the sub-laplacian on the Heisenberg group H-m. We prove that e (i root-L)/(1 - L)(alpha/2) extends to a bounded operator on L-P(H-m), for 1 less than or equal to p less than or equal to infinity, when alpha > (d - 1) \1/p - 1/2\.