Lévy processes and Fourier multipliers |
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| Authors: | Rodrigo Bañ uelos,Krzysztof Bogdan |
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| Affiliation: | a Department of Mathematics, Purdue University, West Lafayette, IN 47906, USA
b Institute of Mathematics, Wroc?aw University of Technology, 50-370 Wroc?aw, Poland |
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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 Lp(Rd) 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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| Keywords: | Fourier multiplier Process with independent increments Martingale transform Singular integral |
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