English

Parabolic martingales and non-symmetric Fourier multipliers

Functional Analysis 2012-06-05 v1 Probability

Abstract

We give a class of Fourier multipliers with non-symmetric symbols and explicit norm bounds on LpL^p spaces by using the stochastic calculus of L\'evy processes and Burkholder-Wang estimates for differentially subordinate martingales.

Keywords

Cite

@article{arxiv.1206.0423,
  title  = {Parabolic martingales and non-symmetric Fourier multipliers},
  author = {Krzysztof Bogdan and Łukasz Wojciechowski},
  journal= {arXiv preprint arXiv:1206.0423},
  year   = {2012}
}

Comments

14 pages