Lévy processes and Fourier multipliers

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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.
18 pages

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Functional Analysis, Probability, 42B15; 60G51

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http://salesiana.dossiersoluciones.com/handle/123456789/128283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609432
 http://arxiv.org/abs/math/0609432

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arXiv