Sparse gradient bounds for divergence form elliptic equations

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Harmonic analysis and PDEs (42B37)

Cites Work

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On pointwise estimates involving sparse operators
A pointwise estimate for positive dyadic shifts and some applications
Gaussian heat kernel bounds through elliptic Moser iteration
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
Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems
Nonlinear potential theory on metric spaces
On $C^1$, $C^2$, and weak type-$(1,1)$ estimates for linear elliptic operators. II
Riesz transforms and elliptic PDEs with VMO coefficients
Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
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Linear potentials in nonlinear potential theory
Sparse domination via the helicoidal method
Gradient weighted norm inequalities for linear elliptic equations with discontinuous coefficients
Sparse bounds for pseudodifferential operators
Sparse bounds for spherical maximal functions
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Intuitive dyadic calculus: the basics
The L$^p$-integrability of the partial derivatives of a quasiconformal mapping
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Classical Fourier Analysis
Modern Fourier Analysis
Functions of Vanishing Mean Oscillation
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Domination of multilinear singular integrals by positive sparse forms
A Local estimate for nonlinear equations with discontinuous coefficients
The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic

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