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BMO spaces associated with semigroups of operators

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Abstract

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 < ∞, with optimal constants in p.

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, Urbana, IL, 61801, USA

    M. Junge

  2. Department of Mathematics, Wayne state University, Detroit, MI, 48202, USA

    T. Mei

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  1. M. Junge
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  2. T. Mei
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Correspondence to T. Mei.

Additional information

M. Junge is partially supported by the NSF DMS-090145705. T. Mei is partially supported by NSF DMS-0901009.

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Junge, M., Mei, T. BMO spaces associated with semigroups of operators. Math. Ann. 352, 691–743 (2012). https://doi.org/10.1007/s00208-011-0657-0

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  • DOI: https://doi.org/10.1007/s00208-011-0657-0

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