Lévy processes and Fourier multipliers
Rodrigo Bañuelos, Krzysztof Bogdan
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 Lp() for 1<p<∞ and we obtain the same explicit bound for their norm as the one known for the second order Riesz transforms.
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