Lp-estimates for the wave equation on the Heisenberg group.
Revista Matemática Iberoamericana (1999)
- Volume: 15, Issue: 2, page 297-332
- ISSN: 0213-2230
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topMüller, Detlef, and Stein, Elias M.. "Lp-estimates for the wave equation on the Heisenberg group.." Revista Matemática Iberoamericana 15.2 (1999): 297-332. <http://eudml.org/doc/39572>.
@article{Müller1999,
abstract = {Let £ denote the sub-Laplacian on the Heisenberg group Hm. We prove that ei√£ / (1 - £)α/2 extends to a bounded operator on Lp(Hm), for 1 ≤ p ≤ ∞, when α > (d - 1) |1/p - 1/2|.},
author = {Müller, Detlef, Stein, Elias M.},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacios LP; Operadores diferenciales; Ecuaciones diferenciales en derivadas parciales; sub-Laplacian; Heisenberg group; Cauchy problem; wave equation},
language = {eng},
number = {2},
pages = {297-332},
title = {Lp-estimates for the wave equation on the Heisenberg group.},
url = {http://eudml.org/doc/39572},
volume = {15},
year = {1999},
}
TY - JOUR
AU - Müller, Detlef
AU - Stein, Elias M.
TI - Lp-estimates for the wave equation on the Heisenberg group.
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 2
SP - 297
EP - 332
AB - Let £ denote the sub-Laplacian on the Heisenberg group Hm. We prove that ei√£ / (1 - £)α/2 extends to a bounded operator on Lp(Hm), for 1 ≤ p ≤ ∞, when α > (d - 1) |1/p - 1/2|.
LA - eng
KW - Espacios LP; Operadores diferenciales; Ecuaciones diferenciales en derivadas parciales; sub-Laplacian; Heisenberg group; Cauchy problem; wave equation
UR - http://eudml.org/doc/39572
ER -
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