BMO spaces associated with semigroups of operators

被引：39
|
作者：
Junge, M. [2 ]
Mei, T. [1 ]
机构：
[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA
来源：
MATHEMATISCHE ANNALEN | 2012年 / 352卷 / 03期
基金：
美国国家科学基金会;
关键词：
NONCOMMUTATIVE BMO; RIESZ TRANSFORMS; INEQUALITY; THEOREM;
D O I：
10.1007/s00208-011-0657-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study BMO spaces associated with semigroup of operators on noncommutative function spaces (i.e. von Neumann algebras) and apply the results to boundedness of Fourier multipliers on non-abelian discrete groups. We prove an interpolation theorem for BMO spaces and prove the boundedness of a class of Fourier multipliers on noncommutative L (p) spaces for all 1 < p < a, with optimal constants in p.
引用
收藏
页码：691 / 743
页数：53
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