Duals of Hardy Spaces of B-valued Martingales for 0

论文作者:Lin YU;
作者单位:School of Science,China Three Gorges University
期刊名称:《Acta Mathematica Sinica(English Series)》
期刊刊期:2014年08期
分类号:O177
ISSN:1439-8516
论文摘要: The dual of B-valued martingale Hardy space Hs(p)r(B) with small index 0 < r ≤ 1,which is associated with the conditional p-variation of B-valued martingale,is characterized.In order to obtain the results,a new type of Campanato spaces for B-valued martingales is introduced and the classical technique of atomic decompositions is improved.Some results obtained here are connected closely with the p-uniform smoothness and q-uniform convexity of the underlying Banach space.
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