Bilinear Fourier Restriction Theorems

被引：0
|
作者：
Ciprian Demeter
S. Zubin Gautam
机构：
[1] Indiana Unversity,Department of Mathematics
来源：
Journal of Fourier Analysis and Applications | 2012年 / 18卷
关键词：
Lacunary polygon; Bilinear Fourier restriction; 42A45; 42A50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We provide a general scheme for proving Lp estimates for certain bilinear Fourier restrictions outside the local L2 setting. As an application, we show how such estimates follow for the lacunary polygon. In contrast with prior approaches, our argument avoids any use of the Rubio de Francia Littlewood–Paley inequality.
引用
下载
收藏
页码：1265 / 1290
页数：25
相关论文
共 50 条
  • [31] Bilinear Fourier Multipliers of Bounded Variation
    Baena-Miret, Sergi
    Carro, Maria J.
    Luque, Teresa
    Sanchez-Pascuala, Laura
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (24) : 21943 - 21975
  • [32] Estimates for the commutator of bilinear Fourier multiplier
    Guoen Hu
    Wentan Yi
    Czechoslovak Mathematical Journal, 2013, 63 : 1113 - 1134
  • [33] Fourier analysis with respect to bilinear maps
    Blasco, O.
    Calabuig, J. M.
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (04) : 519 - 530
  • [34] Fourier analysis with respect to bilinear maps
    O. Blasco
    J. M. Calabuig
    Acta Mathematica Sinica, English Series, 2009, 25 : 519 - 530
  • [35] RESTRICTION OF THE FOURIER TRANSFORM
    Urciuolo, Marta
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2008, 49 (02): : 39 - 44
  • [36] Certain theorems on bilinear and bilateral generating functions
    Srivastava, HM
    Yeh, YN
    ANZIAM JOURNAL, 2002, 43 : 567 - 574
  • [37] Bilinear Embedding Theorems for Differential Operators in ℝ2
    Stolyarov D.M.
    Journal of Mathematical Sciences, 2015, 209 (5) : 792 - 807
  • [38] Restriction theorems for homogeneous bundles
    Mehta, V. B.
    Trivedi, V.
    BULLETIN DES SCIENCES MATHEMATIQUES, 2007, 131 (04): : 397 - 404
  • [39] Restriction theorems for principal bundles
    Biswas, I
    Gómez, TL
    MATHEMATISCHE ANNALEN, 2003, 327 (04) : 773 - 792
  • [40] Restriction theorems for semistable sheaves
    Pavel, Mihai
    DOCUMENTA MATHEMATICA, 2024, 29 : 597 - 625
12345