Integrability of the general product Hardy operators on the product Hardy spaces

In this paper, we prove that the general product Hardy operators are bounded from the product Hardy space to .

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Bibliographic Details
Published inApplied Mathematics-A Journal of Chinese Universities Vol. 27; no. 2; pp. 225 - 233
Main Authors Zhu, Xiang-rong, Chen, Jie-cheng
Format Journal Article
LanguageEnglish
Published Heidelberg SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities 01.06.2012
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
42B25
product Hardy operator
42B30
product Hardy space
atom decomposition
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Summary:In this paper, we prove that the general product Hardy operators are bounded from the product Hardy space to .
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-012-2973-x