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Littlewood-Paley算子的交换子的有界性(英文) 被引量:14

Boundedness for Commutators of Littlewood-Paley Operators
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摘要 设n/(n+ε) <P≤1,本文证明了Littlewood-Paley算子与BMO函数构成的交换子的(H_b^p,L^p)-型有界性和(H_b^(p.∞),L^(p,∞))-型有界性. Let n/n+ε< p≤1, in this paper, the (H_b^p, Lp)-type and (H_b^(p,∞), L^(P,∞)-type bound-edness for the commutators associated with the Littlewood-Paley operators and b∈ BMO(Rn) are obtained, where H_b^p and _b^p,∞are, respectively, the variants of the standard Hardy spaces and weak Hardy spaces.
出处 《数学进展》 CSCD 北大核心 2003年第4期473-480,共8页 Advances in Mathematics(China)
基金 Supported by the National 973 Project of China
关键词 LITTLEWOOD-PALEY算子 交换子 有界性 BMO函数 CALDERON-ZYGMUND算子 HOLDER不等式 Hardy空间 Littlewood-Paley operator commutator BMO(Rn) Hardy space weak Hardy space
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