On the boundedness of Fourier integral operators on Lp(Rn)

被引：25

作者：

Coriasco, Sandro ^{[1
]}

Ruzhansky, Michael ^{[2
]}

机构：

[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

COMPTES RENDUS MATHEMATIQUE | 2010年 / 348卷 / 15-16期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1016/j.crma.2010.07.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this Note is to present global L-p boundedness results for Fourier integral operators in R-n. The main question is what are the decay conditions on the amplitudes for the operators to be bounded on L-p(R-n). Results under different sets of assumptions on phase functions and amplitudes are presented. (C) 2010 Published by Elsevier Masson SAS on behalf of Academie des sciences.

引用

页码：847 / 851

页数：5

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