Continuity of multi-parameter paraproduct

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)

Cites Work

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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
Bi-parameter paraproducts
Duality theory of weighted Hardy spaces with arbitrary number of parameters
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
Calderón-Zygmund operators on product Hardy spaces
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
Multiparameter singular integrals and maximal functions
Carleson measure on the bi-disc
Commutators of multiparameter flag singular integrals and applications
Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness
A characterization of product BMO by commutators.
Boundedness criterion of Journé's class of singular integrals on multiparameter Hardy spaces
Equivalent norms of \(cmo^p(\mathbb{R}^n)\) and applications
Dual spaces of multiparameter local Hardy spaces
Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators
Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces
Boundedness of singular integral operators on local Hardy spaces and dual spaces
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
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
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
Multiparameter operators and sharp weighted inequalities
Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
Classical Fourier Analysis
Multiparameter Riesz commutators
The Calderon-Zygmund Decomposition on Product Domains
Calderón-Zygmund theory for product domains: H ^p spaces
H p - and L p -Variants of Multiparameter Calderon-Zygmund Theory
H ^p theory for the poly-disc
Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type
Off-Diagonal Estimates for Bi-Commutators

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