Operator-valued martingale transforms and R-boundedness

被引：8

作者：

Girardi, M ^{[1
]}

Weis, L

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

[2] Univ Karlsruhe, Inst Math 1, D-76128 Karlsruhe, Germany

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2005年 / 49卷 / 02期

关键词：

D O I：

10.1215/ijm/1258138030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Banach space X-valued martingale transforms by a B(X)-valued multiplier sequence are bounded on L-p(X), where 1 < p < infinity and X is a UMD space, if and only if the multiplier sequence is pointwise R-bounded. This is also true for unconditionally convergent martingales in arbitrary Banach spaces.

引用

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页码：487 / 516

页数：30

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