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
相关论文
共 50 条
  • [1] BMO spaces associated with semigroups of operators
    Junge, M.
    Mei, T.
    MATHEMATISCHE ANNALEN, 2012, 352 (03) : 691 - 743
  • [2] Comparison of the classical BMO with the BMO spaces associated with operators and applications
    Deng, Donggao
    Duong, Xuan Thinh
    Sikora, Adam
    Yan, Lixin
    REVISTA MATEMATICA IBEROAMERICANA, 2008, 24 (01) : 267 - 296
  • [3] REGULARITIES OF SEMIGROUPS, CARLESON MEASURES AND THE CHARACTERIZATIONS OF BMO-TYPE SPACES ASSOCIATED WITH GENERALIZED SCHRODINGER OPERATORS
    Hao, Yuanyuan
    Li, Pengtao
    Zhao, Kai
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 13 (01): : 1 - 25
  • [4] Weighted Hardy spaces and BMO spaces associated with Schrodinger operators
    Liu, Heping
    Tang, Lin
    Zhu, Hua
    MATHEMATISCHE NACHRICHTEN, 2012, 285 (17-18) : 2173 - 2207
  • [5] HARDY SPACES ASSOCIATED WITH SEMIGROUPS OF OPERATORS
    Betancor, Jorge J.
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2011, 52 (02): : 1 - 22
  • [6] Tent spaces associated with semigroups of operators
    Mei, Tao
    JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 255 (12) : 3356 - 3406
  • [7] bmo ρ (ω) spaces and Riesz transforms associated to Schrodinger operators
    Zhu, Hua
    Zhang, Qian
    SCIENCE CHINA-MATHEMATICS, 2016, 59 (10) : 1995 - 2018
  • [8] BMO spaces related to Laguerre semigroups
    Harboure, Eleonor
    Chicco Ruiz, Anibal
    MATHEMATISCHE NACHRICHTEN, 2014, 287 (2-3) : 254 - 280
  • [9] Hardy and BMO spaces associated to divergence form elliptic operators
    Hofmann, Steve
    Mayboroda, Svitlana
    MATHEMATISCHE ANNALEN, 2009, 344 (01) : 37 - 116
  • [10] bmo ρ(ω) Spaces and Riesz transforms associated to Schrdinger operators
    ZHU Hua
    ZHANG Qian
    ScienceChina(Mathematics), 2016, 59 (10) : 1995 - 2018
12345