Boundedness of Smooth Bilinear Square Functions and Applications to Some Bilinear Pseudo-differential Operators

被引：13
|
作者：
Bernicot, Frederic [1 ]
Shrivastava, Saurabh [2 ]
机构：
[1] Univ Lille 1, CNRS, Lab Paul Painleve, F-59655 Villeneuve Dascq, France
[2] Indian Inst Technol Kanpur, Deptartment Math, Kanpur 208016, Uttar Pradesh, India
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2011年 / 60卷 / 01期
关键词：
bilinear square functions; bilinear multipliers; pseudo-differential operators; MULTILINEAR OPERATORS; SPACES; L(P);
D O I：
10.1512/iumj.2011.60.4527
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to the proof of boundedness of bilinear smooth square functions. Moreover, we deduce boundedness of some bilinear pseudo-differential operators associated with symbols belonging to a subclass of BS0(,0)(0).
引用
收藏
页码：233 / 268
页数：36
相关论文
共 50 条
  • [1] Some estimates for commutators of bilinear pseudo-differential operators
    Yang, Yanqi
    Tao, Shuangping
    [J]. OPEN MATHEMATICS, 2022, 20 (01): : 1337 - 1352
  • [2] BILINEAR PSEUDO-DIFFERENTIAL OPERATORS WITH EXOTIC SYMBOLS
    Miyachi, Akihiko
    Tomita, Naohito
    [J]. ANNALES DE L INSTITUT FOURIER, 2020, 70 (06) : 2737 - 2769
  • [3] Bilinear Pseudo-differential Operators on Local Hardy Spaces
    Jiang Wei XIAO
    Yin Sheng JIANG
    Wen Hua GAO
    [J]. Acta Mathematica Sinica,English Series, 2012, (02) : 255 - 266
  • [4] Sharp Function Estimates for Bilinear Pseudo-Differential Operators
    Guangqing Wang
    Jinhui Li
    [J]. Bulletin of the Iranian Mathematical Society, 2022, 48 : 3795 - 3807
  • [5] Bilinear pseudo-differential operators with exotic symbols, II
    Akihiko Miyachi
    Naohito Tomita
    [J]. Journal of Pseudo-Differential Operators and Applications, 2019, 10 : 397 - 413
  • [6] Bilinear Pseudo-differential Operators on Local Hardy Spaces
    Jiang Wei XIAO
    Yin Sheng JIANG
    Wen Hua GAO
    [J]. ActaMathematicaSinica, 2012, 28 (02) : 255 - 266
  • [7] Bilinear pseudo-differential operators with exotic symbols, II
    Miyachi, Akihiko
    Tomita, Naohito
    [J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2019, 10 (02) : 397 - 413
  • [8] Bilinear pseudo-differential operators on product of weighted spaces
    Lu, Guanghui
    Zhou, Jiang
    [J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2020, 11 (04) : 1647 - 1664
  • [9] Bilinear pseudo-differential operators on local hardy spaces
    Jiang Wei Xiao
    Yin Sheng Jiang
    Wen Hua Gao
    [J]. Acta Mathematica Sinica, English Series, 2012, 28 : 255 - 266
  • [10] Sharp Function Estimates for Bilinear Pseudo-Differential Operators
    Wang, Guangqing
    Li, Jinhui
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (06) : 3795 - 3807
12345