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BMO spaces associated with semigroups of operators

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arxiv 1111.6194 v1 pith:LFY2ACOQ submitted 2011-11-26 math.CA math.FAmath.OA

BMO spaces associated with semigroups of operators

Marius Junge , Tao Mei This is my paper
classification math.CA math.FAmath.OA
keywords spacesassociatedboundednessfouriermultipliersoperatorsproveapply
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We study BMO spaces associated with semigroup of operators and apply the results to boundedness of Fourier multipliers. We prove a universal interpolation theorem for BMO spaces and prove the boundedness of a class of Fourier multipliers on noncommutative Lp spaces for all 1 < p < \infty, with optimal constants in p.

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