WEAK-TYPE INTERPOLATION FOR NONCOMMUTATIVE MAXIMAL OPERATORS

被引：12
|
作者：
Dirksen, Sjoerd [1 ]
机构：
[1] Univ Bonn, Hausdorff Ctr Math, D-53115 Bonn, Germany
来源：
JOURNAL OF OPERATOR THEORY | 2015年 / 73卷 / 02期
关键词：
Noncommutative symmetric spaces; Doob's maximal inequality; noncommutative maximal inequalities; interpolation theory; FUNCTION-SPACES; MARCINKIEWICZ; THEOREM;
D O I：
10.7900/jot.2014mar12.2022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a Boyd-type interpolation result for noncommutative maximal operators of restricted weak type. Our result positively answers an open question in T. Bekjan, Z. Chen, A. Osekowski, arXiv: 1108.2795 [math.O.A]. As a special case, we find a restricted weak type version of the noncommutative Marcinkiewicz interpolation theorem, due to lunge and Xu, with interpolation constant of optimal order.
引用
收藏
页码：515 / 532
页数：18
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