Some Characterization of Herz and Herz-Type Hardy Spaces for the Dunkl Operator

2020 ◽  
Vol 51 (4) ◽  
pp. 1533-1554
Author(s):  
Mehdi Lachiheb ◽  
Abdesselem Gasmi
Keyword(s):  
Hardy Spaces ◽  
Dunkl Operator

scholarly journals A characterization of internal functions on multiply connected regions

1984 ◽  
Vol 96 ◽  
pp. 23-28
Author(s):  
Lee A. Rubel
Keyword(s):  
Hardy Spaces ◽  
Multiply Connected ◽  
Multiply Connected Regions ◽  
Internal Function

The notion of internal function enters naturally in the study of factorization of function in Lumer’s Hardy spaces—see [RUB], where this aspect is developed in some detail.

Non-tangential Maximal Function Characterizations of Hardy Spaces Associated with Degenerate Elliptic Operators

2015 ◽  
Vol 67 (5) ◽  
pp. 1161-1200 ◽  
Author(s):  
Junqiang Zhang ◽  
Jun Cao ◽  
Renjin Jiang ◽  
Dachun Yang
Keyword(s):  
Hardy Space ◽  
Maximal Function ◽  
Hardy Spaces ◽  
Riesz Transform ◽  
Degenerate Elliptic Operators ◽  
Degenerate Elliptic Operator ◽  
Muckenhoupt Class ◽  
Degenerate Elliptic ◽  
Function Characterization

AbstractLet w be either in the Muckenhoupt class of A2(ℝn) weights or in the class of QC(ℝn) weights, and let be the degenerate elliptic operator on the Euclidean space ℝn, n ≥ 2. In this article, the authors establish the non-tangential maximal function characterization of the Hardy space associated with , and when with , the authors prove that the associated Riesz transform is bounded from to the weighted classical Hardy space .

scholarly journals Riesz transform characterization of Hardy spaces associated with certain Laguerre expansions

2010 ◽  
Vol 62 (2) ◽  
pp. 215-231 ◽  
Author(s):  
Jorge Betancor ◽  
Jacek Dziubański ◽  
Gustavo Garrigós
Keyword(s):  
Hardy Spaces ◽  
Riesz Transform ◽  
Laguerre Expansions

Molecular characterization of anisotropic Musielak–Orlicz Hardy spaces and their applications

2016 ◽  
Vol 32 (11) ◽  
pp. 1391-1414 ◽  
Author(s):  
Bao De Li ◽  
Xing Ya Fan ◽  
Zun Wei Fu ◽  
Da Chun Yang
Keyword(s):  
Molecular Characterization ◽  
Hardy Spaces

scholarly journals Hardy Spaces on Homogeneous Groups and Littlewood-Paley Functions

2020 ◽  
Vol 71 (1) ◽  
pp. 295-320
Author(s):  
Shuichi Sato
Keyword(s):  
Maximal Function ◽  
Hardy Spaces ◽  
Homogeneous Groups ◽  
Peetre Maximal Function ◽  
Vector Valued

Abstract We establish a characterization of the Hardy spaces on the homogeneous groups in terms of the Littlewood–Paley functions. The proof is based on vector-valued inequalities shown by applying the Peetre maximal function.

Two-Weight Norm Inequality and Carleson Measure in Weighted Hardy Spaces

1992 ◽  
Vol 44 (6) ◽  
pp. 1206-1219 ◽  
Author(s):  
Dangsheng Gu
Keyword(s):  
Homogeneous Space ◽  
Hardy Spaces ◽  
Maximal Operator ◽  
Carleson Measure ◽  
Norm Inequality ◽  
Doubling Measure ◽  
Weight Norm Inequality ◽  
Weighted Hardy Spaces

AbstractLet (X, ν, d) be a homogeneous space and let Ω be a doubling measure on X. We study the characterization of measures μ on X+ = X x R+ such that the inequality , where q < p, holds for the maximal operator Hvf studied by Hörmander. The solution utilizes the concept of the “balayée” of the measure μ.

Maximal Operators and Characterization of Hardy Spaces

2020 ◽  
Vol 46 (1) ◽  
pp. 119-131 ◽  
Author(s):  
N. Memić ◽  
S. Sadiković
Keyword(s):  
Hardy Spaces ◽  
Maximal Operators
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