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arXiv · 1206.0423

Parabolic martingales and non-symmetric Fourier multipliers

Krzysztof Bogdan·Łukasz Wojciechowski
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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 Lévy processes and Burkholder-Wang estimates for differentially subordinate martingales.

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Krzysztof Bogdan, Łukasz Wojciechowski. 2012-06-03. Parabolic martingales and non-symmetric Fourier multipliers. https://arxiv.org/abs/1206.0423

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