BMO spaces associated with semigroups of operators

M. Junge; T. Mei

doi:10.1007/s00208-011-0657-0

BMO spaces associated with semigroups of operators

M. Junge, T. Mei

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	691-743
Number of pages	53
Journal	Mathematische Annalen
Volume	352
Issue number	3
DOIs	https://doi.org/10.1007/s00208-011-0657-0
State	Published - Mar 2012

Keywords

46L51 (42B25 46L10 47D06)

ASJC Scopus subject areas

General Mathematics

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10.1007/s00208-011-0657-0

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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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AU - Mei, T.

N1 - Funding Information: M. Junge is partially supported by the NSF DMS-090145705. T. Mei is partially supported by NSF DMS-0901009.

PY - 2012/3

Y1 - 2012/3

N2 - 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.

AB - 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.

KW - 46L51 (42B25 46L10 47D06)

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JF - Mathematische Annalen

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ER -

BMO spaces associated with semigroups of operators

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