On the Riesz transforms on the homogeneous spaces of semisimple Lie groups

被引：5
|
作者：
Lohoué, N
Mustapha, S
机构：
[1] Univ Paris 11, F-91405 Orsay, France
[2] Univ Paris 06, Math Inst, F-75252 Paris, France
来源：
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2000年 / 128卷 / 04期
关键词：
D O I：
10.24033/bsmf.2379
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
ON THE RIESZ TRANSFORMS ON THE HOMOGENEOUS SPACES OF SEMISIMPLE LIE GROUPS. - Let G be a semisimple noncompact Lie group with finite center and let H subset of G be a closed subgroup with the same properties. Let Delta = - Sigmax(j)(2) be a left invariant sub-Laplacian on G. In this paper we investigate the boundness of the Riesz transforms associated to the sub-Laplacian Delta on the homogenous space H\G.
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页码：485 / 495
页数：11
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