DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES

作者：Ding, Wei; Zhu, Yueping^*

来源：Acta Mathematica Scientia, 2017, 37(4): 1083-1104.

DOI：10.1016/S0252-9602(17)30059-0

• Triebel-Lizorkin space
• weighted
• multiparameter
• duality
• Fefferman-Stein inequality

In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces (F) over dot(p)(alpha,q)(omega;R-n1 x R-n2) 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 (F) over dot(P)(alpha,q))* = CMOp-alpha,q' for 0 < p <= 1.

• 出版日期2017-7
• 单位南通大学