Lévy processes and Fourier multipliers

2006/09/15 by Bañuelos, Rodrigo, Bogdan, Krzysztof · 2 citations
#42B15 #60G51 #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)

paper · doi:10.48550/arxiv.math/0609432

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

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• A note on the L^p-solvability of a strongly-coupled nonlocal system of equations
• Littlewood--Paley estimates for pure-jump Dirichlet forms

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