Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (4): 1083-1104.doi: 10.1016/S0252-9602(17)30059-0

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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.

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

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