New local \(T1\) theorems on non-homogeneous spaces

DOI10.5565/PUBLMAT6822406zbMATH Open1546.42018MaRDI QIDQ6589792

Paco Villarroya

Publication date: 20 August 2024

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

zbMATH Keywords

Cauchy integralcompact operatorCalderón-Zygmund operatornon-doubling Radon measures

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear operators defined by compactness properties (47B07) Integral operators (47G10) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Cites Work

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• Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory
• The sharp weighted bound for general Calderón-Zygmund operators
• A characterization of compactness for singular integrals
• The local \(Tb\) theorem with rough test functions
• Wavelets and singular integrals on curves and surfaces
• Potential techniques for boundary value problems on \(C^1\)-domains
• On singular integrals of Calderón-type in \(\mathbb{R}^ n\), and BMO
• Accretive system \(Tb\)-theorems on nonhomogeneous spaces.
• Carleson measures, trees, extrapolation, and \(T(b)\) theorems
• The \(Tb\)-theorem on non-homogeneous spaces.
• Local \( Tb \) theorems and Hardy inequalities
• A new approach to non-homogeneous local \(Tb\) theorems
• A global \textit{Tb} theorem for compactness and boundedness of Calderón-Zygmund operators
• An operator-valued \(Tb\) theorem
• On general local \(Tb\) theorems
• THE LOCAL NON-HOMOGENEOUS Tb THEOREM FOR VECTOR-VALUED FUNCTIONS
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• The perfect local $Tb$ Theorem and twisted Martingale transforms

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