A Good-λ Lemma, Two Weight T1 Theorems Without Weak Boundedness, and a Two Weight Accretive Global Tb Theorem

DOI10.1007/978-3-319-52742-0_9zbMath1380.42015arXiv1609.08125OpenAlexW2526253827MaRDI QIDQ2974753

Chun-Yen Shen, Ignacio Uriarte-Tuero, Eric T. Sawyer

Publication date: 10 April 2017

Published in: Harmonic Analysis, Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08125

zbMATH Keywords

weighted norm inequalitytesting conditionsenergy conditions\(A_2\) conditiontwo-weight norm inequalityfractional singular integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Norms (inequalities, more than one norm, etc.) of linear operators (47A30)

Related Items

A \(T1\) theorem for general Calderón-Zygmund operators with comparable doubling weights, and optimal cancellation conditions, A \(T1\) theorem for general smooth Calderón-Zygmund operators with doubling weights, and optimal cancellation conditions. II, Weighted Alpert wavelets, The two weight \(T1\) theorem for fractional Riesz transforms when one measure is supported on a curve, The $\theta $-bump theorem for product fractional integrals, A two weight local \(Tb\) theorem for the Hilbert transform, Recent developments in two weight testing theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A two weight theorem for \(\alpha\)-fractional singular integrals with an energy side condition
• A two weight inequality for the Hilbert transform assuming an energy hypothesis
• Two-weight inequality for the Hilbert transform: a real variable characterization. I
• Two-weight inequality for the Hilbert transform: a real variable characterization. II
• Astala's conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane
• Two-weight Hilbert transform and Lipschitz property of Jacobi matrices associated to hyperbolic polynomials
• CMV matrices with asymptotically constant coefficients. Szegő--Blaschke class, scattering theory
• On the inverse scattering problem for Jacobi matrices with the spectrum on an interval, a finite system of intervals or a Cantor set of positive length
• The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces \(K_\theta\)
• Linear resolvent growth of rank one perturbation of a unitary operator does not imply its similarity to a normal operator.
• Teichmüller spaces and BMOA
• Accretive system \(Tb\)-theorems on nonhomogeneous spaces.
• The \(Tb\)-theorem on non-homogeneous spaces.
• Chord-arc curves and the Beurling transform
• On general local $Tb$ theorems
• A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
• 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 with general measures
• A characterization of a two-weight norm inequality for maximal operators
• Some Maximal Inequalities
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform