数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (4): 1083-1104.doi: 10.1016/S0252-9602(17)30059-0

• 论文 • 上一篇    下一篇

DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES

丁卫1, 朱月萍2   

  1. 1. School of Sciences, Nantong University, Nantong 226007, China;
    2. Department of Mathematics, Nantong Normal College, Nantong 226010, China
  • 收稿日期:2016-01-28 修回日期:2016-09-10 出版日期:2017-08-25 发布日期:2017-08-25
  • 通讯作者: Yueping ZHU,E-mail:zhuyueping@ntu.edu.cn E-mail:zhuyueping@ntu.edu.cn
  • 作者简介:Wei DING,E-mail:dingwei@ntu.edu.cn
  • 基金资助:

    Supported by NNSF of China grants (11501308, 11271209, 11371370) and Jiangsu Government Scholarship for Overseas Studies.

DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES

Wei DING1, Yueping ZHU2   

  1. 1. School of Sciences, Nantong University, Nantong 226007, China;
    2. Department of Mathematics, Nantong Normal College, Nantong 226010, China
  • Received:2016-01-28 Revised:2016-09-10 Online:2017-08-25 Published:2017-08-25
  • Contact: Yueping ZHU,E-mail:zhuyueping@ntu.edu.cn E-mail:zhuyueping@ntu.edu.cn
  • About author:Wei DING,E-mail:dingwei@ntu.edu.cn
  • Supported by:

    Supported by NNSF of China grants (11501308, 11271209, 11371370) and Jiangsu Government Scholarship for Overseas Studies.

摘要:

In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces ?pα,q(ω; Rn1×Rn2) based on the Frazier and Jawerth' method in[11]. This space was firstly introduced in[18]. Then we establish its dual space and get that (?pα,q)*=CMOp-α,q' for 0 < p ≤ 1.

关键词: Triebel-Lizorkin space, weighted, multiparameter, duality, Fefferman-Stein inequality

Abstract:

In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces ?pα,q(ω; Rn1×Rn2) based on the Frazier and Jawerth' method in[11]. This space was firstly introduced in[18]. Then we establish its dual space and get that (?pα,q)*=CMOp-α,q' for 0 < p ≤ 1.

Key words: Triebel-Lizorkin space, weighted, multiparameter, duality, Fefferman-Stein inequality