数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (1): 272-292.doi: 10.1007/s10473-020-0119-7

• 论文 • 上一篇    

BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES

李翔1, 骞君2, 燕敦验1   

  1. 1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
    2. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China
  • 收稿日期:2018-09-13 修回日期:2018-12-17 出版日期:2020-02-25 发布日期:2020-04-14
  • 通讯作者: Qianjun HE E-mail:heqianjun16@mails.ucas.ac.cn
  • 基金资助:
    Supported in part by the Natural Science Foundation of China (11471309 and 11561062).

BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES

Xiang LI1, Qianjun HE2, Dunyan YAN1   

  1. 1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
    2. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China
  • Received:2018-09-13 Revised:2018-12-17 Online:2020-02-25 Published:2020-04-14
  • Contact: Qianjun HE E-mail:heqianjun16@mails.ucas.ac.cn
  • Supported by:
    Supported in part by the Natural Science Foundation of China (11471309 and 11561062).

摘要: In this paper, we consider the boundedness of multilinear Littlewood-Paley operators which include multilinear g-function, multilinear Lusin’s area integral and multilinear Littlewood-Paley gλ*-function. Furthermore, norm inequalities of the above operators hold on the corresponding Amalgam-Campanato spaces.

关键词: multilinear Littlewood-Paley g-function, multilinear gλ*-function, AmalgamCampanato spaces

Abstract: In this paper, we consider the boundedness of multilinear Littlewood-Paley operators which include multilinear g-function, multilinear Lusin’s area integral and multilinear Littlewood-Paley gλ*-function. Furthermore, norm inequalities of the above operators hold on the corresponding Amalgam-Campanato spaces.

Key words: multilinear Littlewood-Paley g-function, multilinear gλ*-function, AmalgamCampanato spaces

中图分类号: 

  • 42B20