Abstract Hardy Spaces on product domains

Gong Ru-Ming

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Abstract Hardy Spaces on product domains

Gong Ru-Ming

School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006

*Correspondence author

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Funding: Specialized Research Fund for the Doctoral Program of Higher Education （No.Grant No. 20124410120002）

Opened online:21 December 2015

Accepted by: none

Citation: Gong Ru-Ming.Abstract Hardy Spaces on product domains[OL]. [21 December 2015] http://en.paper.edu.cn/en_releasepaper/content/4671222

In this paper, we define the abstract Hardy spaces.And then we propose some general conditions which guaranteethe continuity from our Hardy space into $L^1$. At last,we give the definition of the ${ m BMO}$ space and studythe relationship between abstract Hardy spaces and ${ m BMO}$ space.

Keywords:product domains; Hardy Spaces; BMO

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