The Lp Convergence of B- Valued L′ Limit Martingale Transform
Received:April 15, 2000  
Key Words: B- valued quasi-martingale (QM)   B- valued L′ limit martingale   p-smooth space (1≤p≤2).  
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Author NameAffiliation
LIANG Xiao-li Dandong Higher Institute of Textile
Liaoning
China 
CAI Ruo-song Dandong Higher Institute of Textile
Liaoning
China 
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Abstract:
      In this paper, we give an extension of Kronecker Lemma in Banach spaced B, and there by discuss the Lp convergence of the martingale transform Y=((?)Vk(Xk-Xk-1)Fn≥1,here X= (X,F)n≥0, is a B- valued L′ limit martingale and V = (V,F)n≥1 is a real-valued predictable sequence.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.01.011
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