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Lévy processes and Fourier multipliers

Rodrigo Bañuelos·Krzysztof Bogdan
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Abstract

We study Fourier multipliers which result from modulating jumps of Lévy processes. Using the theory of martingale transforms we prove that these operators are bounded in $L^p(\Rd)$ for $1<p<\infty$ and we obtain the same explicit bound for their norm as the one known for the second order Riesz transforms.

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Rodrigo Bañuelos, Krzysztof Bogdan. 2007-05-03. Lévy processes and Fourier multipliers. https://arxiv.org/abs/math/0609432

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