Parabolic martingales and non-symmetric Fourier multipliers
  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. 
Krzysztof Bogdan, {\L}ukasz Wojciechowski
math.FA math.PR