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
收藏
页码：847 / 851
页数：5
相关论文
共 50 条
  • [31] Hs-BOUNDEDNESS OF A CLASS OF FOURIER INTEGRAL OPERATORS
    Aid, Omar Farouk
    Senoussaoui, Abderrahmane
    [J]. MATHEMATICA SLOVACA, 2021, 71 (04) : 889 - 902
  • [32] Global boundedness of a class of multilinear Fourier integral operators
    Rodriguez-Lopez, Salvador
    Rule, David
    Staubach, Wolfgang
    [J]. FORUM OF MATHEMATICS SIGMA, 2021, 9
  • [33] On L2-boundedness of Fourier integral operators
    Yang, Jie
    Chen, Wenyi
    Zhou, Jiang
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01):
  • [34] Boundedness of Fourier integral operators on classical function spaces
    Israelsson, Anders
    Mattsson, Tobias
    Staubach, Wolfgang
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2023, 285 (05)
  • [35] Boundedness of Fourier integral operators on Fourier Lebesgue spaces and affine fibrations
    Nicola, Fabio
    [J]. STUDIA MATHEMATICA, 2010, 198 (03) : 207 - 219
  • [36] BOUNDEDNESS OF LINEAR INTEGRAL-OPERATORS IN WEIGHTED LP SPACES
    RONEN, Y
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (07) : 1522 - 1523
  • [37] Lp-boundedness and compactness of wavelet multipliers for integral operators
    Ghobber, Saifallah
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2019, 30 (11) : 856 - 881
  • [38] Lp(Rd) Boundedness for a Class of Nonstandard Singular Integral Operators
    Chen, Jiecheng
    Hu, Guoen
    Tao, Xiangxing
    [J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2024, 30 (05)
  • [39] The Improvement on the Boundedness and Norm of a Class of Integral Operators on Lp Space
    Zhou, Lifang
    Lu, Jin
    [J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [40] Periodic Fourier integral operators in Lp-spaces
    Cardona, Duvan
    Messiouene, Rekia
    Senoussaoui, Abderrahmane
    [J]. COMPTES RENDUS MATHEMATIQUE, 2021, 359 (05) : 547 - 553
12345