An introduction to pointwise sparse domination

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01)

Cites Work

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On pointwise estimates involving sparse operators
On an estimate of Calderón-Zygmund operators by dyadic positive operators
The sharp weighted bound for general Calderón-Zygmund operators
An elementary proof of the \(A_{2}\) bound
Sharp weighted norm estimates beyond Calderón-Zygmund theory
Almost everywhere convergence of the spherical partial sums for radial functions
A note on dyadic coverings and nondoubling Calderón-Zygmund theory
Carleson's theorem: proof, complements, variations
Some remarks on the pointwise sparse domination
Intuitive dyadic calculus: the basics
A sparse domination principle for rough singular integrals
A fractional Muckenhoupt-Wheeden theorem and its consequences
One and two weight norm inequalities for Riesz potentials
On convergence and growth of partial sums of Fourier series
The multiplier problem for the ball
Sobolev and isoperimetric inequalities with monomial weights
On weighted norm inequalities for the Carleson and Walsh-Carleson operator
Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution
A Two Weight Weak Type Inequality for Fractional Integrals
Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
Two Nonequivalent Conditions for Weight Functions
A characterization of some weighted norm inequalities for the fractional maximal function
A characterization of a two-weight norm inequality for maximal operators
Weighted Norm Inequalities for Fractional Integrals
Regularity of Stable Solutions up to Dimension 7 in Domains of Double Revolution
Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol
Classical Fourier Analysis
Modern Fourier Analysis
A Simple Proof of the A2 Conjecture
Two weight inequalities for fractional integral operators and commutators
Hardy's inequality with weights
Weighted Norm Inequalities for the Hardy Maximal Function

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