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：1976
卷号：73
期号：8
页码：2547-2549
DOI：10.1073/pnas.73.8.2547
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：Let u be a harmonic function on a symmetric space which is the Poisson integral of a function f in Lp, 1 [≤] p [≤] {infty}. Then u converges restrictedly and admissibly to f almost everywhere. This result is proved by obtaining an appropriate maximal theorem which takes into account the structure of the Poisson kernel.
关键词：harmonic functions ; restricted and admissible convergence
