八元数Siegel半空间上的Hardy空间  

Hardy Spaces over the Octonionic Siegel Half Spaces

作　　者：王晋勋 李兴民[2] 廖建全 Jin Xun WANG;Xing Min LI;Jian Quan LIAO(School of Mathematics and Statistics,Guangdong University of Foreign Studies,Guangzhou 510006,P.R.China;School of Computer Sciences,South China Normal University,Guangzhou 510631,P.R.China;Department of Mathematics,Guangdong Institute of Education,Guangzhou 510303,P.R.China)

机构地区：[1]广东外语外贸大学数学与统计学院,广州510006 [2]华南师范大学计算机学院,广州510631 [3]广东第二师范学院数学系,广州510303

出　　处：《数学学报（中文版）》2022年第3期523-532,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11701105)。

摘　　要：指出了八元数Heisenberg群与八元数Siegel半空间的边界之间的关系,研究了八元数Siegel半空间上满足一定条件的左O-解析函数构成的Hardy空间,并给出了其边值刻画.The relation between the octonionic Heisenberg group and the octonionic Siegel half space is investigated;the Hardy spaces over the oc.tonionic Siegel half spaces are studied,of which the characterization through boundary limits is given.

关 键 词：八元数 左O-解析函数 HEISENBERG群 Siegel半空间 HARDY空间 

分 类 号：O174.5[理学—数学]