On general local $Tb$ theorems
From MaRDI portal
Publication:2841372
DOI10.1090/S0002-9947-2012-05599-1zbMath1279.42013arXiv1011.0642OpenAlexW2907463012MaRDI QIDQ2841372
Henri Martikainen, Tuomas P. Hytönen
Publication date: 25 July 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.0642
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)
Related Items (16)
𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets ⋮ Two‐weight Tb theorems for well‐localized operators ⋮ Local \(Tb\) theorem with \(L^2\) testing conditions and general measures: square functions ⋮ Some characterizations of upper doubling conditions on metric measure spaces ⋮ GENERALIZED LOCAL THEOREMS FOR SQUARE FUNCTIONS ⋮ A Good-λ Lemma, Two Weight T1 Theorems Without Weak Boundedness, and a Two Weight Accretive Global Tb Theorem ⋮ A local \(Tb\) theorem for square functions in domains with Ahlfors-David regular boundaries ⋮ A two weight inequality for Calderón-Zygmund operators on spaces of homogeneous type with applications ⋮ The perfect local $Tb$ Theorem and twisted Martingale transforms ⋮ A non-homogeneous local Tb theorem for Littlewood-Paley \(g^*_{\lambda}\)-function with \(L^{p}\)-testing condition ⋮ On the Local Tb Theorem: A Direct Proof under the Duality Assumption ⋮ A two weight local \(Tb\) theorem for the Hilbert transform ⋮ Comparison of $T1$ conditions for multi-parameter operators ⋮ Littlewood-Paley theory on metric spaces with non doubling measures and its applications ⋮ The local \(Tb\) theorem with rough test functions ⋮ Boundedness and applications of singular integrals and square functions: a survey
Cites Work
- Unnamed Item
- The sharp weighted bound for general Calderón-Zygmund operators
- Local Tb theorem on spaces of homogeneous type
- A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
- BCR algorithm and the \(T(b)\) theorem
- Vector-valued non-homogeneous \(Tb\) theorem on metric measure spaces
- Accretive system \(Tb\)-theorems on nonhomogeneous spaces.
- Carleson measures, trees, extrapolation, and \(T(b)\) theorems
- The \(Tb\)-theorem on non-homogeneous spaces.
- Non-homogeneous \(Tb\) theorem and random dyadic cubes on metric measure spaces
- Local \( Tb \) theorems and Hardy inequalities
- The vector-valued nonhomogeneous Tb Theorem
- The Hardy space H1 on non-homogeneous metric spaces
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
This page was built for publication: On general local $Tb$ theorems