Parabolic martingales and non-symmetric Fourier multipliers (1206.0423v1)

Published 3 Jun 2012 in math.FA and math.PR

Abstract: 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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