Carleson measures, trees, extrapolation, and \(T(b)\) theorems
From MaRDI portal
Publication:1860932
DOI10.5565/PUBLMAT_46202_01zbMath1027.42009arXivmath/0108138MaRDI QIDQ1860932
Camil Muscalu, Pascal Auscher, Christoph Thiele, Steven Hofmann, Terence C. Tao
Publication date: 18 June 2003
Published in: Publicacions Matemàtiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0108138
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)
Related Items (43)
Perfect dyadic operators: weighted \(T(1)\) theorem and two weight estimates ⋮ 𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets ⋮ Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on \(A_p\) weighted spaces ⋮ Bilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves ⋮ Two‐weight Tb theorems for well‐localized operators ⋮ Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^p$ boundedness ⋮ Local \(Tb\) theorem with \(L^2\) testing conditions and general measures: square functions ⋮ Local \( Tb \) theorems and Hardy inequalities ⋮ Boundedness of paraproduct operators on RD-spaces ⋮ The Schatten classes of Calderón-Zygmund operators ⋮ Improved Cotlar's inequality in the context of local \(Tb\) theorems ⋮ GENERALIZED LOCAL THEOREMS FOR SQUARE FUNCTIONS ⋮ Conservation de certaines propriétés à travers un contrôle épars d’un opérateur et applications au projecteur de Leray–Hopf ⋮ Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem ⋮ Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates ⋮ A T(1) theorem for entangled multilinear dyadic Calderón-Zygmund operators ⋮ A local \(Tb\) theorem for square functions in domains with Ahlfors-David regular boundaries ⋮ 𝐴_{∞} estimates via extrapolation of Carleson measures and applications to divergence form elliptic operators ⋮ 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 ⋮ Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators ⋮ Non-homogeneous square functions on general sets: suppression and big pieces methods ⋮ A local \(Tb\) theorem for matrix weighted paraproducts ⋮ Harmonic measure and approximation of uniformly rectifiable sets ⋮ The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability ⋮ \(b\)-weighted dyadic BMO from dyadic BMO and associated \(T(b)\) theorems ⋮ On the Local Tb Theorem: A Direct Proof under the Duality Assumption ⋮ Bi-parameter paraproducts ⋮ Sharp \(A_{2}\) inequality for Haar shift operators ⋮ End-point estimates and multi-parameter paraproducts on higher dimensional tori ⋮ A two weight local \(Tb\) theorem for the Hilbert transform ⋮ An operator-valued \(T1\) theory for symmetric CZOs ⋮ Local Tb theorem on spaces of homogeneous type ⋮ A new approach to non-homogeneous local \(Tb\) theorems ⋮ Calderón commutators and the Cauchy integral on Lipschitz curves revisited. I. First commutator and generalizations ⋮ Multilinear paraproducts revisited ⋮ A two-weight inequality for essentially well localized operators with general measures ⋮ On general local $Tb$ theorems ⋮ A global \textit{Tb} theorem for compactness and boundedness of Calderón-Zygmund operators ⋮ T(1) theorem for dyadic singular integral forms associated with hypergraphs ⋮ The local \(Tb\) theorem with rough test functions ⋮ Recent developments in two weight testing theory ⋮ Boundedness and applications of singular integrals and square functions: a survey
This page was built for publication: Carleson measures, trees, extrapolation, and \(T(b)\) theorems