Integrability of the general product Hardy operators on the product Hardy spaces |
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| Authors: | ZHU Xiang-rong CHEN Jie-cheng |
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| Affiliation: | Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China |
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| Abstract: | In this paper, we prove that the general product Hardy operators are bounded from the product Hardy space $H_n^1 \left( {R^{m_1 } \times \cdots \times R^{m_n } } \right)$ to $L^1 \left( {R^{\sum\nolimits_{i = 1}^n {m_i } } } \right)$ . |
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| Keywords: | product Hardy operator product Hardy space atom decomposition. |
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