Dual Spaces of Weighted Multi-Parameter Hardy Spaces Associated with the Zygmund Dilation

被引：1
作者：
Han, Xiaolong [1 ]
Lu, Guozhen [1 ]
Xiao, Yayuan [1 ]
机构：
[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
来源：
ADVANCED NONLINEAR STUDIES | 2012年 / 12卷 / 03期
关键词：
Multi-parameter Hardy spaces; Zygmund dilation; duality theory; discrete Calderon's identity; Littlewood-Paley-Stein analysis; and sup-inf comparison principles; A(infinity) weights; weighted Hardy spaces; SINGULAR-INTEGRALS; MAXIMAL-FUNCTION; INEQUALITIES; BMO;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we apply the discrete Littlewood-Paley-Stein analysis to prove the duality theorem of weighted multi-parameter Hardy spaces associated with Zygmund dilations, i.e., (H-Z(p) (omega))* = CMOZp(omega) for 0 < p <= 1. Our theorems extend the H-Z(P) - CMOZp duality theorems established in [13] (see also [12]) for non-weighted multi-parameter Hardy spaces associated with the Zygmund dilation.
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页码：533 / 553
页数：21
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