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Noncommutative Riesz transforms -- Dimension free bounds and Fourier multipliers
Marius Junge, Tao Mei, Javier Parcet
We obtain dimension free estimates for noncommutative Riesz transforms associated to conditionally negative length functions on group von Neumann algebras. This includes Poisson se…
An invitation to harmonic analysis associated with semigroups of operators
Marius Junge, Tao Mei, Javier Parcet
This article is an introduction to our recent work in harmonic analysis associated with semigroups of operators, in the effort of finding a noncommutative Calderón-Zygmund theory f…
BMO spaces associated with semigroups of operators
Marius Junge, Tao Mei
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 an…
Smooth Fourier multipliers on group von Neumann algebras
Marius Junge, Tao Mei, Javier Parcet
We investigate Fourier multipliers on the compact dual of arbitrary discrete groups. Our main result is a Hörmander-Mihlin multiplier theorem for finite-dimensional cocycles with o…