Multi-parameter local Hardy spaces
From MaRDI portal
Publication:2312551
DOI10.1016/j.na.2019.02.014zbMath1418.42038OpenAlexW2924649978MaRDI QIDQ2312551
Guozhen Lu, Yue Ping Zhu, Wei Ding
Publication date: 17 July 2019
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2019.02.014
atomic decompositionmulti-parameterlocal Hardy spaceCalderón reproducing formulainhomogeneous Journé class
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
- Unnamed Item
- Multi-parameter singular Radon transforms. I: The \(L^2\) theory
- Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\)
- Singular integrals with flag kernels on homogeneous groups, I
- Boundedness of singular integrals in Journé's class on weighted multiparameter Hardy spaces
- \(L^p\) estimates for bi-parameter and bilinear Fourier integral operators
- Bi-parameter paraproducts
- Non-isotropic flag singular integrals on multi-parameter Hardy spaces
- Duality theory of weighted Hardy spaces with arbitrary number of parameters
- A discrete transform and decompositions of distribution spaces
- Multi-parameter singular Radon transforms III: Real analytic surfaces
- Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces
- Local Riesz transform characterization of local Hardy spaces
- Multi-parameter paraproducts
- 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
- Calderón-Zygmund operators 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
- Multiparameter singular integrals and maximal functions
- A local version of real Hardy spaces
- \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators
- Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness
- Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators
- A characterization of product BMO by commutators.
- Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
- Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II
- 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
- Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces
- Hörmander type theorem for Fourier multipliers with optimal smoothness on Hardy spaces of arbitrary number of parameters
- Hardy spaces associated with different homogeneities and boundedness of composition operators
- Multi-parameter singular Radon transforms. II: The \(L^p\) theory
- Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness
- 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
- Symbolic Calculus and Boundedness of Multi-parameter and Multi-linear Pseudo-differential Operators
- Hp → Hp boundedness implies Hp → Lp boundedness
- Multiparameter operators and sharp weighted inequalities
- Multi-parameter Singular Integrals
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- $L^{p}$ estimates for multi-linear and multi-parameter pseudo-differential operators
- The Calderon-Zygmund Decomposition on Product Domains
- A Covering Lemma for Product Spaces
- Calderón-Zygmund theory for product domains: H p spaces
- H p - and L p -Variants of Multiparameter Calderon-Zygmund Theory
- Extensions of Hardy spaces and their use in analysis
- H p theory for the poly-disc
- A real variable characterization of $H^{p}$
- Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms
- Singular integrals with flag kernels and analysis on quadratic CR manifolds
- Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces
