BMO spaces associated with semigroups of operators

被引：0
|
作者：
M. Junge
T. Mei
机构：
[1] University of Illinois,Department of Mathematics
[2] Wayne state University,Department of Mathematics
来源：
Mathematische Annalen | 2012年 / 352卷
关键词：
46L51 (42B25 46L10 47D06);
D O I：
暂无
中图分类号：
学科分类号：
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 Lp spaces for all 1 < p < ∞, with optimal constants in p.
引用
收藏
页码：691 / 743
页数：52
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