BMO spaces associated with semigroups of operators

Abstract

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.

Math Ann

Cited by in corpus (5)

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• Free Hilbert Transforms
• $H^{\infty }$-calculus for semigroup generators on BMO
• Harmonic analysis approach to Gromov--Hausdorff convergence for noncommutative tori
• Complete boundedness of the Heat Semigroups on the von Neumann Algebra of hyperbolic groups