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Weak atomic decomposition of B-valued martingales with two-parameters

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Abstract

Weak atomic decompositions of B-valued martingales with two-parameters in weak Hardy spaces w p Σα and w p H α are established and the boundedness of sublinear operators on these spaces are proved. By using them, some characterizations of the smoothness of Banach spaces are obtained.

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Authors and Affiliations

  1. Department of Mathematics, Wuhan University, Wuhan, 430071, P.R. China

    Y. F. Li & P. D. Liu

Authors
  1. Y. F. Li
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  2. P. D. Liu
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Correspondence to Y. F. Li.

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Li, Y.F., Liu, P.D. Weak atomic decomposition of B-valued martingales with two-parameters. Acta Math Hung 127, 225–238 (2010). https://doi.org/10.1007/s10474-010-9126-6

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  • DOI: https://doi.org/10.1007/s10474-010-9126-6

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2000 Mathematics Subject Classification