Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals
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Publication:5877451
DOI10.1090/memo/1388OpenAlexW4313460930MaRDI QIDQ5877451
Lu Zhang, Guozhen Lu, Jiawei Shen
Publication date: 13 February 2023
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/memo/1388
Calderón-Zygmund operatorssingular Radon transformsmulti-parameter Hardy spacesdiscrete Littlewood-Paley-Stein theorymulti-parameter singular integralsmulti-parameter dilations
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)
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Cites Work
- Multi-parameter singular Radon transforms. I: The \(L^2\) theory
- The Calderón-Zygmund decomposition and interpolation on weighted Hardy spaces
- 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
- 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
- Estimates for translation invariant operators in \(L^p\) spaces
- Boundedness of multi-parameter pseudo-differential operators on multi-parameter 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
- Weighted Hardy spaces in the three-parameter case
- Discrete Calderón's identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces
- A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces
- Singular integrals on product spaces
- Balls and metrics defined by vector fields. I: Basic properties
- 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
- Regularity properties of Fourier integral operators
- Parabolic maximal functions associated with a distribution. II
- Carleson measure on the bi-disc
- \(L^{p}\) 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.
- On the product theory of singular integrals
- 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
- Singular and maximal Radon transforms: Analysis and geometry
- Hörmander Fourier multiplier theorems with optimal regularity in bi-parameter Besov spaces
- Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators
- Hörmander Fourier multiplier theorems with optimal Besov regularity on multi-parameter Hardy spaces
- Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces
- Multi-parameter Carnot-Carathéodory balls and the theorem of Frobenius
- Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces
- Multi-parameter local Hardy spaces
- Hörmander type theorem for Fourier multipliers with optimal smoothness on Hardy spaces of arbitrary number of parameters
- Multi-parameter singular Radon transforms
- 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
- Fourier integral operators. I
- \(H^p\) spaces of several variables
- On the existence of certain singular integrals
- 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
- Duality of multiparameter Hardy spaces Hp on spaces of homogeneous type
- Multiparameter operators and sharp weighted inequalities
- Multi-parameter Singular Integrals
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- On Singular Integrals
- Multiparameter Riesz commutators
- The Calderon-Zygmund Decomposition on Product Domains
- Embedding and multiplier theorems for 𝐻^{𝑃}(𝑅ⁿ)
- A Covering Lemma for Product Spaces
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- H p - and L p -Variants of Multiparameter Calderon-Zygmund Theory
- H p theory for the poly-disc
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- Dual Spaces of Weighted Multi-Parameter Hardy Spaces Associated with the Zygmund Dilation
- Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type
- Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms
- Some Maximal Inequalities
- Singular integrals with flag kernels and analysis on quadratic CR manifolds
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