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

2012 ◽  
Vol 12 (3) ◽  
Author(s):  
Xiaolong Han ◽  
Guozhen Lu ◽  
Yayuan Xiao
Keyword(s):  
Hardy Spaces ◽  
Duality Theorem ◽  
Dual Spaces

AbstractIn 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., (HpZ (ω))∗ = CMO

On dual spaces of anisotropic Hardy spaces

2012 ◽  
Vol 285 (17-18) ◽  
pp. 2078-2092 ◽  
Author(s):  
Shai Dekel ◽  
Tal Weissblat
Keyword(s):  
Hardy Spaces ◽  
Dual Spaces

scholarly journals Multiplication between Hardy spaces and their dual spaces

2019 ◽  
Vol 131 ◽  
pp. 130-170 ◽  
Author(s):  
Aline Bonami ◽  
Jun Cao ◽  
Luong Dang Ky ◽  
Liguang Liu ◽  
Dachun Yang ◽  
...  
Keyword(s):  
Hardy Spaces ◽  
Dual Spaces

scholarly journals Dual spaces of anisotropic mixed-norm Hardy spaces

2018 ◽  
Vol 147 (3) ◽  
pp. 1201-1215 ◽  
Author(s):  
Long Huang ◽  
Jun Liu ◽  
Dachun Yang ◽  
Wen Yuan
Keyword(s):  
Hardy Spaces ◽  
Mixed Norm ◽  
Dual Spaces

scholarly journals Dual Spaces of Multiparameter Local Hardy Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Wei Ding ◽  
Feng Yu
Keyword(s):  
Hardy Spaces ◽  
Duality Theory ◽  
Carleson Measure ◽  
Dual Spaces ◽  
Local Hardy Spaces ◽  
The Relationship

In this paper, we study the duality theory of the multiparameter local Hardy spaces h p ℝ n 1 × ℝ n 2 , and we prove that h p ℝ n 1 × ℝ n 2 ∗ = cm o p ℝ n 1 × ℝ n 2 , where cm o p ℝ n 1 × ℝ n 2 are defined by discrete Carleson measure. Moreover, we discuss the relationship among cm o p ℝ n 1 × ℝ n 2 , Li p p ℝ n 1 × ℝ n 2 , and rectangle cm o rect p ℝ n 1 × ℝ n 2 .

Weighted Carleson Measure Spaces Associated with Different Homogeneities

2014 ◽  
Vol 66 (6) ◽  
pp. 1382-1412 ◽  
Author(s):  
Xinfeng Wu
Keyword(s):  
Hardy Spaces ◽  
Carleson Measure ◽  
Forthcoming Paper ◽  
Weighted Hardy Spaces ◽  
Dual Spaces ◽  
Measure Spaces

AbstractIn this paper, we introduce weighted Carleson measure spaces associated with different homogeneities and prove that these spaces are the dual spaces of weighted Hardy spaces studied in a forthcoming paper. As an application, we establish the boundedness of composition of two Calderón–Zygmund operators with different homogeneities on the weighted Carleson measure spaces; this, in particular, provides the weighted endpoint estimates for the operators studied by Phong–Stein.

scholarly journals DUAL SPACES OF MULTI-PARAMETER MARTINGALE HARDY SPACES

2016 ◽  
Vol 67 (1) ◽  
pp. 137-145 ◽  
Author(s):  
Ferenc Weisz
Keyword(s):  
Hardy Spaces ◽  
Dual Spaces
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