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

页码：515 / 532

页数：18

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