Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution
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Publication:3294769
DOI10.1007/978-3-030-32353-0_7zbMath1473.42019arXiv1812.00850OpenAlexW2902764659MaRDI QIDQ3294769
Publication date: 29 June 2020
Published in: New Trends in Applied Harmonic Analysis, Volume 2 (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.00850
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) 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)
Related Items
Variational characterizations of weighted Hardy spaces and weighted spaces ⋮ Quantitative weighted estimates for harmonic analysis operators in the Bessel setting by using sparse domination ⋮ Bump conditions and two-weight inequalities for commutators of fractional integrals ⋮ Endpoint sparse domination for classes of multiplier transformations ⋮ Dyadic lower little BMO estimates ⋮ Paraproducts, Bloom BMO and sparse BMO functions ⋮ Products and commutators of martingales in \(H_1\) and BMO ⋮ Greedy approximation algorithms for sparse collections ⋮ A sparse quadratic \(T(1)\) theorem ⋮ WEIGHTED NORM ESTIMATES FOR THE DYADIC PARAPRODUCT WITH VMO FUNCTION ⋮ Sharp off-diagonal weighted weak type estimates for sparse operators ⋮ Weighted norm inequalities in a bounded domain by the sparse domination method ⋮ Quadratic sparse domination and weighted estimates for non-integral square functions
Cites Work
- Two-weight $L^{p}$-inequalities for dyadic shifts and the dyadic square function
- Dyadic Fefferman–Stein inequalities and the equivalence of Haar bases on weighted Lebesgue spaces
- Systems of dyadic cubes in a doubling metric space
- On functions of bounded mean oscillation
- Weighted Norm Inequalities for the Hardy-Littlewood Maximal Operator on Spaces of Homogeneous Type
- Sharp one-weight and two-weight bounds for maximal operators
- An elementary approach to several results on the Hardy-Littlewood maximal operator
- A Commutator Theorem and Weighted BMO
- A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- Weighted norm inequalities for maximal functions and singular integrals
- Martingale Transforms
- The Bellman functions and two-weight inequalities for Haar multipliers
- Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
- Weighted estimates for commutators of linear operators
- A sharp estimate on the norm of the continuous square function
- Sparse domination for the lattice Hardy–Littlewood maximal operator
- Positive Sparse Domination of Variational Carleson Operators
- The Two Weight Inequality for the Hilbert Transform: A Primer
- On Two Weight Estimates for Dyadic Operators
- Weak and strong $A_p$-$A_\infty $ estimates for square functions and related operators
- Sparse Bounds for Random Discrete Carleson Theorems
- Commutators of singular integrals revisited
- Two weight estimates with matrix measures for well localized operators
- Sparse bounds for maximal monomial oscillatory Hilbert transforms
- Sparse bilinear forms for Bochner Riesz multipliers and applications
- The two-weight inequality for the Hilbert transform with general measures
- Domination of multilinear singular integrals by positive sparse forms
- Characterization of Subsets of Rectifiable Curves in R n
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- A characterization of a two-weight norm inequality for maximal operators
- Sharp estimates for the commutators of the Hilbert, Riesz transforms and the Beurling-Ahlfors operator on weighted Lebesgue spaces
- Improving Bounds for Singular Operators via Sharp Reverse Höolder Inequality for $$ A_\infty $$
- Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol
- Classical Fourier Analysis
- Modern Fourier Analysis
- The sharp square function estimate with matrix weight
- The Carleson Embedding Theorem with Matrix Weights
- Weighted Inequalities and Dyadic Harmonic Analysis
- A Simple Proof of the A2 Conjecture
- The Sparse T1 Theorem
- Two weight inequalities for fractional integral operators and commutators
- Matrix weighted norm inequalities for commutators and paraproducts with matrix symbols
- Sparse Bounds for a Prototypical Singular Radon Transform
- BMO from dyadic BMO on the bidisc
- Sharp $A_2$ estimates of Haar shifts via Bellman function
- The proof of $A_2$ conjecture in a geometrically doubling metric space
- The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic
- The sharp weighted bound for the Riesz transforms
- A new quantitative two weight theorem for the Hardy-Littlewood maximal operator
- Weighted Norm Inequalities for the Hardy Maximal Function
- Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
- Sparse bounds for maximally truncated oscillatory singular integrals
- Wavelets and the angle between past and future
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On pointwise estimates involving sparse operators
- A pointwise estimate for positive dyadic shifts and some applications
- The Holmes-Wick theorem on two-weight bounds for higher order commutators revisited
- \(L^{p}(\mu) \to L^{q}(\nu)\) characterization for well localized operators
- On \(A_p\)-\(A_\infty \) type estimates for square functions
- Mixed \(A_p\)-\(A_r\) inequalities for classical singular integrals and Littlewood-Paley operators
- Sharp weighted bounds involving \(A_\infty\)
- On an estimate of Calderón-Zygmund operators by dyadic positive operators
- The sharp weighted bound for general Calderón-Zygmund operators
- Sharp norm inequalities for commutators of classical operators
- Dyadic harmonic analysis beyond doubling measures
- Two weight norm inequalities for the \(g\) function
- Two-weight inequality for the Hilbert transform: a real variable characterization. I
- Two-weight inequality for the Hilbert transform: a real variable characterization. II
- Multiple vector-valued inequalities via the helicoidal method
- Sparse bounds for oscillatory and random singular integrals
- Commutators in the two-weight setting
- An elementary proof of the \(A_{2}\) bound
- Quantitative weighted estimates for rough homogeneous singular integrals
- Sharp weighted norm estimates beyond Calderón-Zygmund theory
- Equivalence of Haar bases associated with different dyadic systems
- Weighted inequalities for multivariable dyadic paraproducts
- Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
- Weights, extrapolation and the theory of Rubio de Francia.
- Extrapolation of weights revisited: new proofs and sharp bounds
- Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals
- Sharp weighted estimates for classical operators
- Sparse bounds for Bochner-Riesz multipliers
- Uniform sparse domination of singular integrals via dyadic shifts
- Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type
- Boundary value problems and sharp inequalities for martingale transforms
- Weighted martingale multipliers in the non-homogeneous setting and outer measure spaces
- Addendum to: ``Orthonormal bases of regular wavelets in spaces of homogeneous type
- Morceaux de graphes lipschitziens et intégrales singulières sur une surface
- Two weight inequalities for individual Haar multipliers and other well localized operators
- Linear bound for the dyadic paraproduct on weighted Lebesgue space \(L_2(w)\)
- On Petermichl's dyadic shift and the Hilbert transform
- Harmonic analysis on spaces of homogeneous type. With a preface by Yves Meyer
- Sharp weighted bounds for fractional integral operators
- Sharp \(A_{2}\) inequality for Haar shift operators
- BMO from dyadic BMO
- A boundedness criterion for generalized Calderón-Zygmund operators
- Some weighted norm inequalities concerning the Schrödinger operators
- Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
- Weighted inequalities for the dyadic square function without dyadic \(A_{\infty}\)
- José Luis Rubio de Francia (1949-1988)
- Lipschitz functions on spaces of homogeneous type
- The theory of weights and the Dirichlet problem for elliptic equations
- Factorization theorems for Hardy spaces in several variables
- \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
- Summation conditions on weights
- On the two weights problem for the Hilbert transform
- A new class of unbalanced Haar wavelets that form an unconditional basis for \(L_ p\) on general measure spaces
- BMO is the intersection of two translates of dyadic BMO
- A sharp estimate on the norm of the martingale transform
- Weighted little BMO and two-weight inequalities for Journé commutators
- Sparse bounds for the discrete cubic Hilbert transform
- Equivalence of sparse and Carleson coefficients for general sets
- Sparse domination and the strong maximal function
- Off-diagonal sharp two-weight estimates for sparse operators
- A note on dyadic coverings and nondoubling Calderón-Zygmund theory
- Sparse endpoint estimates for Bochner-Riesz multipliers on the plane
- Imbedding and multiplier theorems for discrete Littlewood-Paley spaces
- Beltrami operators in the plane
- Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
- The \(Tb\)-theorem on non-homogeneous spaces.
- Endpoint estimates for commutators of singular integral operators
- Non-homogeneous \(Tb\) theorem and random dyadic cubes on metric measure spaces
- Orthonormal bases of regular wavelets in spaces of homogeneous type
- Sparse domination on non-homogeneous spaces with an application to \(A_p\) weights
- Sparse domination of Hilbert transforms along curves
- Uniform sparse bounds for discrete quadratic phase Hilbert transforms
- Nondoubling Calderón-Zygmund theory: a dyadic approach
- A matrix weighted bilinear Carleson lemma and maximal function
- Sparse bounds for pseudodifferential operators
- Almost Lipschitz-continuous wavelets in metric spaces via a new randomization of dyadic cubes
- Equivalent definitions of dyadic Muckenhoupt and reverse Hölder classes in terms of Carleson sequences, weak classes, and comparability of dyadic \(L \log L\) and \(A_\infty\) constants
- Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
- Sparse bounds for spherical maximal functions
- On logarithmic bounds of maximal sparse operators
- Intuitive dyadic calculus: the basics
- Hardy spaces on Ahlfors-regular quasi metric spaces. A sharp theory
- A sparse domination principle for rough singular integrals
- Convex body domination and weighted estimates with matrix weights
- On pointwise and weighted estimates for commutators of Calderón-Zygmund operators
- BMO from dyadic BMO via expectations on product spaces of homogeneous type
- Sharp Békollé estimates for the Bergman projection
- Sharp weighted estimates for dyadic shifts and the \(A_2\) conjecture
- Multiresolution approximations and unconditional bases on weighted Lebesgue spaces on spaces of homogeneous type
- Weighted Littlewood-Paley theory and exponential-square integrability
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- \(H^p\) spaces of several variables
- Bloom's inequality: commutators in a two-weight setting
- Weighted estimates for dyadic paraproducts and \(t\)-Haar multipliers with complexity (\(m,n\))
- An estimate for weighted Hilbert transform via square functions
- Operator-valued dyadic harmonic analysis beyond doubling measures
- Mixed Ap-A∞estimates with one supremum
- The Ap-Ainfty inequality for general Calderon-Zygmund operators
- Sharp bounds for general commutators on weighted Lebesgue spaces
