A \(T1\) theorem for general Calderón-Zygmund operators with comparable doubling weights, and optimal cancellation conditions

DOI10.1007/S11854-022-0198-3OpenAlexW4281814971WikidataQ113899796 ScholiaQ113899796MaRDI QIDQ2164775

Eric T. Sawyer

Publication date: 17 August 2022

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05602

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear operators on function spaces (general) (47B38) Harmonic analysis in one variable (42Axx) Integral transforms, operational calculus (44Axx)

Related Items (2)

A \(T1\) theorem for general smooth Calderón-Zygmund operators with doubling weights, and optimal cancellation conditions. II ⋮ Two weight Sobolev norm inequalities for smooth Calderón-Zygmund operators and doubling weights

Cites Work

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• A two weight theorem for \(\alpha\)-fractional singular integrals with an energy side condition
• The sharp weighted bound for general Calderón-Zygmund operators
• 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
• Sharp \(A_{2}\) inequality for Haar shift operators
• A boundedness criterion for generalized Calderón-Zygmund operators
• Distribution function inequalities for martingales
• The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces \(K_\theta\)
• Accretive system \(Tb\)-theorems on nonhomogeneous spaces.
• Regularizations of general singular integral operators
• A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure
• A two weight local \(Tb\) theorem for the Hilbert transform
• A characterization of the weighted weak type Coifman-Fefferman and Fefferman-Stein inequalities
• Weighted Alpert wavelets
• Sharp weighted estimates for dyadic shifts and the \(A_2\) conjecture
• A characterization of two-weight trace inequalities for positive dyadic operators in the upper triangle case
• The A_2 theorem: Remarks and complements
• A Good-λ Lemma, Two Weight T1 Theorems Without Weak Boundedness, and a Two Weight Accretive Global Tb Theorem
• Interpolation of Operators with Change of Measures
• Norm inequalities relating singular integrals and the maximal function
• A Note on Failure of Energy Reversal for Classical Fractional Singular Integrals
• A doubling measure on $\mathbb {R}^d$ can charge a rectifiable curve
• A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Weighted norm inequalities for maximal functions and singular integrals
• The Bellman functions and two-weight inequalities for Haar multipliers
• The Two Weight Inequality for the Hilbert Transform: A Primer
• A Two Weight Fractional Singular Integral Theorem with Side Conditions, Energy and k-Energy Dispersed
• The two-weight inequality for the Hilbert transform with general measures
• Weighted Norm Inequalities for Fractional Integrals
• Control of the bilinear indicator cube testing property
• Energy Counterexamples in Two Weight Calderón–Zygmund Theory
• Counterexample to the off-testing condition in two dimensions
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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