Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces
DOI10.1515/forum-2019-0038zbMath1440.42104OpenAlexW2965282399WikidataQ127434587 ScholiaQ127434587MaRDI QIDQ2279818
Yue Ping Zhu, Wei Ding, Guozhen Lu
Publication date: 16 December 2019
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/forum-2019-0038
atomsLittlewood-Paley-Stein square functionsmulti-parameter local Hardy spacesdiscrete local Calderón's identity
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)
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Cites Work
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- Pointwise convergence of the Calderón reproducing formula
- Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\)
- Boundedness of singular integrals in Journé's class on weighted multiparameter Hardy spaces
- Duality theory of weighted Hardy spaces with arbitrary number of parameters
- A discrete transform and decompositions of distribution spaces
- Local Riesz transform characterization of local Hardy spaces
- Multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition
- Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals
- Discrete Calderón's identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces
- Singular integrals on product spaces
- Two problems of Calderón-Zygmund theory on product-spaces
- Harmonic analysis on product spaces
- Journé's covering lemma and its extension to higher dimensions
- A continuous version of duality of \(H^ 1\) with BMO on the bidisc
- Weighted Hardy spaces
- Carleson measure on the bi-disc
- A local version of real Hardy spaces
- Atomic decomposition and boundedness criterion of operators on multi-parameter Hardy spaces of homogeneous type
- Boundedness criterion of Journé's class of singular integrals on multiparameter Hardy spaces
- Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters
- Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces
- Multi-parameter local Hardy spaces
- Discrete Littlewood-Paley-Stein characterization and \(L^2\) atomic decomposition of local Hardy spaces
- Hardy spaces associated with different homogeneities and boundedness of composition operators
- Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group
- \(H^p\) spaces of several variables
- Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators
- Duality of multiparameter Hardy spaces Hp on spaces of homogeneous type
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- The Calderon-Zygmund Decomposition on Product Domains
- A Covering Lemma for Product Spaces
- Calderón-Zygmund theory for product domains: H p spaces
- Extensions of Hardy spaces and their use in analysis
- H p theory for the poly-disc
- A real variable characterization of $H^{p}$
- Dual Spaces of Weighted Multi-Parameter Hardy Spaces Associated with the Zygmund Dilation
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