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A new characterization of p-smoothable Banach spaces

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Abstract

In this paper an atomic decomposition theorem for Banach-space-valued weak Hardy regular martingale space w p H S α (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 S α (X).

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Authors and Affiliations

  1. School of Mathematics and Statistics, He’nan University of Science and Technology, Luoyang, 471003, P. R. China

    Yan Bo Ren

  2. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P. R. China

    You Liang Hou

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  1. Yan Bo Ren
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  2. You Liang Hou
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Correspondence to Yan Bo Ren.

Additional information

Supported by National Natural Science Foundation of China (Grant No. 10671147)

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Ren, Y.B., Hou, Y.L. A new characterization of p-smoothable Banach spaces. Acta. Math. Sin.-English Ser. 27, 1005–1010 (2011). https://doi.org/10.1007/s10114-011-8026-1

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  • DOI: https://doi.org/10.1007/s10114-011-8026-1

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