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

Y. Li; P. Liu

doi:10.1007/s10474-010-9126-6

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Acta Mathematica Hungarica

Volume/Issue:: Volume 127: Issue 3

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

Authors: Y. Li¹ and P. Liu¹

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

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

Page Count:: 225–238

Publication Date:: 01 May 2010

Online Publication Date:: 30 Apr 2010

Article Category:: Research Article

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Abstract

Weak atomic decompositions of B-valued martingales with two-parameters in weak Hardy spaces w _pΣ_α 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.