Bmo Spaces Associated with Semigroups of Operators
نویسنده
چکیده
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. Mathematics subject classification (2000): 46L51 (42B25 46L10 47D06)
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