scholarly journals The boundedness of Riesz transforms for Hermite expansions on the Hardy spaces

2012 ◽  
Vol 385 (1) ◽  
pp. 559-571 ◽  
Author(s):  
Jizheng Huang
Keyword(s):  
Hardy Spaces ◽  
Riesz Transforms ◽  
Hermite Expansions

scholarly journals Characterizations of variable exponent Hardy spaces via Riesz transforms

2016 ◽  
Vol 29 (2) ◽  
pp. 245-270 ◽  
Author(s):  
Dachun Yang ◽  
Ciqiang Zhuo ◽  
Eiichi Nakai
Keyword(s):  
Hardy Spaces ◽  
Variable Exponent ◽  
Riesz Transforms

Hardy spaces on ZN

2002 ◽  
Vol 132 (1) ◽  
pp. 25-43 ◽  
Author(s):  
Santiago Boza ◽  
María J. Carro
Keyword(s):  
Maximal Function ◽  
Hardy Spaces ◽  
Atomic Decomposition ◽  
Classical Case ◽  
Positive Answer ◽  
Riesz Transforms ◽  
Homogeneous Type ◽  
Spaces Of Homogeneous Type ◽  
Definition Of ◽  
Open Question

The work of Coifman and Weiss concerning Hardy spaces on spaces of homogeneous type gives, as a particular case, a definition of Hp(ZN) in terms of an atomic decomposition.Other characterizations of these spaces have been studied by other authors, but it was an open question to see if they can be defined, as it happens in the classical case, in terms of a maximal function or via the discrete Riesz transforms.In this paper, we give a positive answer to this question.

scholarly journals Chaotic behavior of the Riesz transforms for Hermite expansions

2008 ◽  
Vol 337 (1) ◽  
pp. 702-711 ◽  
Author(s):  
Teresa Bermúdez ◽  
Antonio Bonilla ◽  
Jose L. Torrea
Keyword(s):  
Chaotic Behavior ◽  
Riesz Transforms ◽  
Hermite Expansions

scholarly journals Weighted Weak Local Hardy Spaces Associated with Schrödinger Operators

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Hua Zhu
Keyword(s):  
Hardy Spaces ◽  
Atomic Decomposition ◽  
Critical Radius ◽  
Schrödinger Operators ◽  
Riesz Transforms ◽  
Schrodinger Operators ◽  
Local Hardy Spaces ◽  
Radius Function

We characterize the weighted weak local Hardy spacesWhρp(ω)related to the critical radius functionρand weightsω∈A∞ρ,∞(Rn)which locally behave as Muckenhoupt’s weights and actually include them, by the atomic decomposition. As an application, we show that localized Riesz transforms are bounded on the weighted weak local Hardy spaces.

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