Parabolic martingales and non-symmetric Fourier multipliers

2012/06/03 by Krzysztof Bogdan, Bogdan, Krzysztof, Ëukasz Wojciechowski +1
Mathematics · #42B15 #60G15 #60G46 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1206.0423

openalex publication_date 2012/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a class of Fourier multipliers with non-symmetric symbols and explicit norm bounds on L^p spaces by using the stochastic calculus of Lévy processes and Burkholder-Wang estimates for differentially subordinate martingales.

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