New Hardy Spaces Associated with Herz Spaces and Beurling Algebras on Homogeneous Groups |
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| Authors: | Yin Sheng Jiang |
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| Institution: | (1) Department of Mathematics, Xinjiang University, Urumqi 830046, P. R. China E-mail: ysjiang@xju.edu.cn, CN |
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| Abstract: | The author introduces the Hardy spaces associated with the Herz spaces and the Beurling algebras on homogeneous groups and
establishes their atomic decomposition characterizations. As the applications of this decomposition, the duals of these Hardy
spaces and the boundedness of the central δ-Calderón-Zygmund operators on these Hardy spaces are studied.
Received January 13, 2000, Accepted July 26, 2000 |
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| Keywords: | Homogeneous group Hardy spaces Herz spaces Beurling algebras Central atoms |
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