|
|||||
|
|
Lévy processes and Fourier multipliers |
|
| Authors: | Rodrigo Bañuelos Krzysztof Bogdan |
| Institution: | 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 |
| 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. |
| Keywords: | Fourier multiplier Process with independent increments Martingale transform Singular integral |
| 本文献已被 ScienceDirect 等数据库收录！ | |