Parabolic martingales and non-symmetric Fourier multipliers

• Autorzy: Bogdan, K. , Wojciechowski, Ł.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

non-symmetric Fourier multiplier; martingale transform

• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2012
• Tom: Vol. 32, Fasc. 2
• Strony: 241--253
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Bogdan, K.

• Institute of Mathematics, of the Polish Academy of Sciences, Institute of Mathematics and Computer Science of the Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland,

autor

Wojciechowski, Ł.

• Mathematical Institute, University of Wrocław, pl. Grunwaldzki 2/4,50-384 Wrocław, Poland,

Bibliografia

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