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.
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页码：847 / 851
页数：5
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