Some Maximal Inequalities

1971/01/01 by C. Fefferman, Charles Fefferman, E. M. Stein · 1,031 citations
Mathematics · #Graph theory and applications #Inequality #Mathematical Inequalities and Applications #Mathematical analysis #Mathematical economics #Mathematics #Point processes and geometric inequalities #Pure mathematics

paper · doi:10.2307/2373450

published in American Journal of Mathematics 93(1), 107 (Johns Hopkins University Press)

openalex publication_date 1971/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Cited by

• Weighted Inequalities for Maximal Operators: Linearization, Localization and Factorization
• New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory
• Pointwise characterizations of Besov and Triebel–Lizorkin spaces and quasiconformal mappings
• A Hörmander type multiplier theorem for multilinear operators
• On the Well-posedness of the Ideal MHD Equations in the Triebel–Lizorkin Spaces
• On the Consistency of the Kozachenko-Leonenko Entropy Estimate
• Some new function spaces and their applications to Harmonic analysis
• Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class S0,0
• Matrix-weighted Besov-type and Triebel–Lizorkin-type spaces I: A_p-dimensions of matrix weights and φ-transform characterizations
• 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
• Dilation in function spaces with general weights
• Dimension-free estimates for the vector-valued variational operators
• Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
• Asymptotic Behaviour of fractional seminorms
• The Kato-Ponce Inequality
• Maximal multipliers on compact manifolds without boundary
• Hardy spaces on homogeneous groups and Littlewood-Paley functions
• A local Tb theorem for square functions in domains with Ahlfors-David regular boundaries
• Matrix weighted estimates on spaces of homogeneous type
• Weighted inequalities for multilinear potential operators and its commutators
• On weighted norm inequalities for the Carleson operator
• The Helicoidal Method
• A unified approach to three themes in harmonic analysis (1^st part)
• Quasilinear and Hessian equations of Lane-Emden type
• Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces
• Littlewood-Paley Characterizations of Anisotropic Hardy-Lorentz Spaces
• Exponential decay estimates for Singular Integral operators
• On L^p--L^q trace inequalities
• On Muckenhoupt-Wheeden Conjecture
• New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets
• Dimension free bounds for the Hardy--Littlewood maximal operator\n associated to convex sets
• Nonlinear resonances with a potential: Multilinear estimates and an\n application to NLS
• Absolutely summing operators and atomic decomposition in bi-parameter\n Hardy spaces
• Well-Posedness for the Euler Equations in Function Spaces of Generalized Smoothness
• A Bilinear T(b) Theorem for Singular Integrals
• Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces
• Discrete Littlewood-Paley-Stein theory and multi-parameter Hardy spaces associated with flag singular integrals
• Weighted anisotropic Morrey Spaces estimates for anisotropic maximal\n operators
• Issues related to Rubio de Francia's Littlewood--Paley Inequality: A Survey
• Muckenhoupt-Wheeden conjectures for sparse operators
• Weighted inequalities for variation operators associated with fractional Schrödinger semigroups
• Borderline Weak--Type Estimates for Sparse Bilinear Forms Involving A_∞ Maximal Functions
• Littlewood-Paley Characterizations of Hajłasz-Sobolev and Triebel-Lizorkin Spaces via Averages on Balls
• Sharp Lorentz space estimates for rough operators
• H^∞ functional calculus and maximal inequalities for semigroups of contractions on vector-valued L_p-spaces
• On General multilinear square function with non-smooth kernels
• Two-parameter version of Bourgain's inequality: Rational frequencies
• Weighted estimates for the multilinear maximal function on the upper half-spaces
• Some maximal inequalities on Triebel-Lizorkin spaces for p=∞
• The Fefferman-Stein type inequality for strong maximal operator in the heigher dimensions
• On the Carleson measure criterion in linear systems theory
• Smoothing properties of the discrete fractional maximal operator on Besov and Triebel--Lizorkin spaces
• A₁ theory of weights for rough homogeneous singular integrals and commutators
• Weighted variation inequalities for differential operators and singular integrals
• Weighted Norm Inequalities for Parametric Littlewood-Paley Operators
• Restricted testing for the Hardy-Littlewood maximal function
• Extrapolation from A_\fz^ρ,\fz, vector-valued inequalities and applications in the Schrödinger settings
• Sobolev space estimates for a class of bilinear pseudodifferential operators lacking symbolic calculus
• Littlewood-Paley Characterizations of Fractional Sobolev Spaces via Averages on Balls
• Mixed-norm estimates via the helicoidal method
• Characterization of parabolic Hardy spaces by Littlewood-Paley functions
• On uniform boundedness of dyadic averaging operators in spaces of Hardy-Sobolev type
• Tb theorem on product spaces
• Vector valued inequalities and Littlewood-Paley operators on Hardy spaces
• h Estimates for multilinear pseudo-differential operators with flag symbols
• Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels
• Hankel Operators in Several Complex Variables and Product BMO\zProd
• A weak type estimate for regular fractional sparse operators
• Smoothing Properties of Bilinear Operators and Leibniz-Type Rules in Lebesgue and Mixed Lebesgue Spaces
• A class of singular integrals associated with Zygmund dilations
• A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators
• Real-variable Characterizations of Orlicz-Hardy Spaces on Strongly Lipschitz Domains of ℝⁿ
• Rs-sectorial operators and generalized Triebel-Lizorkin spaces
• Weighted inequalities and pointwise estimates for the multilinear fractional integral and maximal operators
• The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane
• On some maximal multipliers in L^p
• New Real-Variable Characterizations of Musielak-Orlicz Hardy Spaces
• The Boundedness of the (Sub)Bilinear Maximal Function along "non-flat" smooth curves
• Fractional type Marcinkiewicz integral operators associated to surfaces
• Weighted L^p estimates for the area integral associated to self-adjoint operators
• End-point Estimates and Multi-parameter Paraproducts on Higher Dimensional Tori
• Real-Variable Characterizations of Orlicz-Slice Hardy Spaces
• Extrapolation and Factorization
• Weighted Hardy and singular operators in Morrey spaces
• Triebel-Lizorkin Spaces and Shearlets on the Cone in ℝ²
• Weighted and vector-valued variational estimates for ergodic averages
• Approximation using scattered shifts of a multivariate function
• Maximal function and Multiplier Theorem for Weighted Space on the Unit Sphere
• Some new light on a few classical results
• Approximation and quasicontinuity of Besov and Triebel-Lizorkin functions
• Continuous characterizations of Besov-Lizorkin-Triebel spaces and new\n interpretations as coorbits
• Maximal multiplier on Stratified groups
• Nonlinear approximation using Gaussian kernels
• On persistence properties in weighted spaces for solutions of the fractional Korteweg–de Vries equation
• On the sharp upper bound related to the weakMuckenhoupt–Wheeden conjecture
• Global boundedness of multilinear Fourier integral operators
• Maximal estimates for bilinear Bochner-Riesz means
• Three Observations on Commutators of Singular Integral Operators with BMO Functions
• A quantitative approach to weighted Carleson condition
• A Battle-Lemarié Frame Characterization of Besov and Triebel-Lizorkin Spaces
• Charles Fefferman [wikipedia]
• Weak and Strong Type A 1 - A ∞ Estimates for Sparsely Dominated Operators. [europepmc]