乘积空间上的抽象Hardy空间（英文）  

Abstract Hardy spaces on product domains

作　　者：龚汝明[1] GONG Ru-ming(School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2016年第6期30-33,50,共5页Journal of Guangzhou University:Natural Science Edition

基　　金：Supported by NNSF of China(11301100);Specialized Research Fund for the Doctoral Program of Higher Education(20124410120002);Foundation for Distinguished Young Teachers in Higher Education of Guangdong Province(YQ2015126);Foundation for Young Innovative Talents in Higher Education of Guangdong(2014KQNCX111);Innovation Program of Higher Education of Guangdong(2015KTSCX105)

摘　　要：文章首先定义抽象Hardy空间;然后给出保证算子从抽象Hardy空间到L^1空间有界的一般条件;最后,定义乘积空间上的BMO空间,并研究了其与抽象Hardy空间的关系.In this paper,we define the abstract Hardy spaces. And then we propose some general conditions which guarantee the continuity from our Hardy space into L^1. At last,we give the definition of the BMO space and study the relationship between abstract Hardy spaces and BMO space.

关 键 词：乘积空间 HARDY空间 BMO 

分 类 号：O174[理学—数学]