Multilinear Calderón–Zygmund Theory

2002/01/01 by Loukas Grafakos, Rodolfo H. Torres · 558 citations
Mathematics · #Advanced Harmonic Analysis Research #Algebra over a field #Artificial intelligence #Computer science #Differential Equations and Boundary Problems #Holomorphic and Operator Theory #Interpolation (computer graphics) #Mathematics #Multilinear map #Multiplier (economics) #Pure mathematics #Statistics #Type (biology) #Variety (cybernetics)

paper · doi:10.1006/aima.2001.2028

published in Advances in Mathematics 165(1), 124-164 (Elsevier BV)

openalex publication_date 2002/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Citations

• Estimates for translation invariant operators in Lp spaces
• On the existence of certain singular integrals
• On commutators of singular integrals and bilinear singular integrals
• On Singular Integrals

Cited by

• New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory
• A Hörmander type multiplier theorem for multilinear operators
• Estimates for trilinear flag paraproducts on L^∞ L ∞ and Hardy spaces
• Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols
• The Hörmander multiplier theorem for n-linear operators
• A sharp Hörmander estimate for multi-parameter and multi-linear Fourier multiplier operators
• Bilinear spherical maximal functions of product type
• Long-term regularity of 3D gravity water waves
• Extrapolation for bilinear compact operators in the variable exponent setting
• Bilinear pseudo-differential operators with exotic class symbols of limited smoothness
• The necessity theory for commutators of multilinear singular integral operators: the weighted case
• On the Hörmander classes of bilinear pseudodifferential operators II
• Improved estimates for bilinear rough singular integrals
• Conditions for Boundedness into Hardy spaces
• The Hörmander multiplier theorem, II: The bilinear local L² case
• Improved surrogate bi-parameter maximum principle
• The second iterate for the Navier-Stokes equation
• Banach-valued multilinear singular integrals
• On General multilinear square function with non-smooth kernels
• Limiting weak-type behavior for rough bilinear operators
• Commutators of bilinear bi-parameter singular integrals
• On relatively compact sets in quasi-Banach function spaces
• Bilinear integral operator on Morrey-Banach spaces and its application
• Boundedness of bilinear pseudo-differential operators of S_0,0-type on L² × L²
• Multilinear Fourier Multipliers with Minimal Sobolev Regularity, II
• Some new weighted estimates on product spaces
• Quasi-Banach estimates of commutators of bilinear bi-parameter singular integrals: paraproducts
• Holomorphic extension on product Lipschitz surfaces in two complex variables
• Modern singular integral theory with mild kernel regularity
• Unimodular bilinear Fourier multipliers on L^p spaces
• Bilinear oscillatory integrals and boundedness for new bilinear multipliers
• Bilinear singular integral operators with generalized kernels and their commutators on product of (grand) generalized fractional (weighted) Morrey spaces
• h Estimates for multilinear pseudo-differential operators with flag symbols
• Bilinear Θ-type generalized fractional integral and its commutator on product of generalized fractional weighted Morrey spaces
• Genuinely multilinear weighted estimates for singular integrals in product spaces
• Characterizations of BMO through commutators of bilinear singular integral operators
• Smoothing Properties of Bilinear Operators and Leibniz-Type Rules in Lebesgue and Mixed Lebesgue Spaces
• Endpoint bounds for the bilinear Hilbert transform
• Linear and bilinear T(b) theorems à la Stein
• A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators
• Limited smoothness conditions with mixed norms for bilinear Fourier multipliers
• Bi-parameter Carleson embeddings with product weights
• Two-weight inequalities for multilinear commutators
• Endpoint estimates for a trilinear pseudo-differential operator with flag symbols
• A pointwise estimate for positive dyadic shifts and some applications
• Extrapolation of compactness on weighted spaces: Bilinear operators
• Some estimates for the bilinear fractional integrals on the Morrey space
• Multilinear Calderón-Zygmund operators on Hardy spaces
• End-point estimates, extrapolation for multilinear Muckenhoupt classes, and applications
• Weighted norm inequalities for multilinear Calderón-Zygmund operators in generalized Morrey spaces. [europepmc]
• Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels. [europepmc]
• Approaching Bilinear Multipliers via a Functional Calculus. [europepmc]
• On the best constants of Schur multipliers of second order divided difference functions. [europepmc]
• Symbolic Calculus for a Class of Pseudodifferential Operators with Applications to Compactness. [europepmc]