DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES

doi:10.1016/S0252-9602(17)30059-0

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

DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES

丁卫¹, 朱月萍²

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. 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/Abstract

摘要：

In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces ?_p^α,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 (?_p^α,q)^*=CMO_p^-α,q' for 0 < p ≤ 1.

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

Abstract:

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

丁卫, 朱月萍. DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES[J]. 数学物理学报(英文版), 2017, 37(4): 1083-1104.

Wei DING, Yueping ZHU. DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES[J]. Acta mathematica scientia,Series B, 2017, 37(4): 1083-1104.

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DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES

DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES

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