BMO spaces associated with semigroups of operators |
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| Authors: | M?Junge Email author" target="_blank">T?MeiEmail author |
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| Institution: | 1.Department of Mathematics,University of Illinois,Urbana,USA;2.Department of Mathematics,Wayne state University,Detroit,USA |
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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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| Keywords: | |
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