A new characterization of p-smoothable Banach spaces |
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| Authors: | Yan Bo Ren You Liang Hou |
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| Affiliation: | [1]School of Mathematics and Statistics, He ＇nan University of Science and Technology, Luoyang 471003, P. R. China [2]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China |
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| Abstract: | In this paper an atomic decomposition theorem for Banach-space-valued weak Hardy regular martingale space w p H α S (X) is given. As an application, p-smoothable Banach spaces are characterized in terms of bounded sublinear operators defined on Banach-space-valued weak Hardy regular martingale space w p H α S (X). |
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| Keywords: | Martingale weak Hardy space atomic decomposition p-smoothable Banach space |
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