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- W1543884881 abstract "We investigate Fourier multipliers on the compact dual of arbitrary discrete groups. Our main result is a Hormander-Mihlin multiplier theorem for finite-dimensional cocycles with optimal smoothness condition. We also find Littlewood-Paley type inequalities in group von Neumann algebras, prove $L_p$ estimates for noncommutative Riesz transforms and characterize $L_infty to mathrm{BMO}$ boundedness for radial Fourier multipliers. The key novelties of our approach are to exploit group cocycles and cross products in Fourier multiplier theory in conjunction with BMO spaces associated to semigroups of operators and a noncommutative generalization of Calderon-Zygmund theory." @default.
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- W1543884881 date "2010-10-26" @default.
- W1543884881 modified "2023-09-27" @default.
- W1543884881 title "Aspects of Calder'on-Zygmund theory for von Neumann algebras I" @default.
- W1543884881 hasPublicationYear "2010" @default.
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