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arxiv: 1206.0423 · v1 · pith:WMMQNXORnew · submitted 2012-06-03 · 🧮 math.FA · math.PR

Parabolic martingales and non-symmetric Fourier multipliers

classification 🧮 math.FA math.PR
keywords fouriermartingalesmultipliersnon-symmetricboundsburkholder-wangcalculusclass
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We give a class of Fourier multipliers with non-symmetric symbols and explicit norm bounds on $L^p$ spaces by using the stochastic calculus of L\'evy processes and Burkholder-Wang estimates for differentially subordinate martingales.

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