期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1974
卷号：71
期号：10
页码：3911-3912
DOI：10.1073/pnas.71.10.3911
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：Let G be a real noncompact semi-simple Lie group with finite center and K a maximal compact sub-group. The symmetric space M = G/K carries a measure invariant under the action of G. The operators which map Lp(M) continuously into itself and commute with the action of G, can be easily characterized when p = 2 or p = 1. This note gives some results on "singular integrals" which map Lp into itself (1 < p < + {infty}).
关键词：semi-simple Lie group ; maximal function ; singular integral operator
