Levy processes and Fourier multipliers

被引：56

作者：

Banuelos, Rodrigo ^{[1
]}

Bogdan, Krzysztof

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47906 USA

[2] Wroclaw Univ Technol, Math Inst, PL-50370 Wroclaw, Poland

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2007年 / 250卷 / 01期

基金：

美国国家科学基金会;

关键词：

Fourier multiplier; process with independent increments; martingale transform; singular integral;

D O I：

10.1016/j.jfa.2007.05.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Fourier multipliers which result from modulating jumps of Levy processes. Using the theory of martingale transforms we prove that these operators are bounded in L-p (R-d) for 1 < p < infinity and we obtain the same explicit bound for their norm as the one known for the second order Riesz transforms. Published by Elsevier Inc.

引用

页码：197 / 213

页数：17

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