Local Tb theorem on spaces of homogeneous type

DOI10.4171/ZAA/1388zbMath1171.42304OpenAlexW2024679036MaRDI QIDQ732876

Chao-Qiang Tan, Li Xin Yan

Publication date: 15 October 2009

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1388

zbMATH Keywords

singular integral operatorsspaces of homogeneous typetreesBCR algorithmlocal Tb theorem

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (5)

Two‐weight Tb theorems for well‐localized operators ⋮ Local \( Tb \) theorems and Hardy inequalities ⋮ GENERALIZED LOCAL THEOREMS FOR SQUARE FUNCTIONS ⋮ A local \(Tb\) theorem for square functions in domains with Ahlfors-David regular boundaries ⋮ On general local $Tb$ theorems

Cites Work

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• BCR algorithm and the \(T(b)\) theorem
• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• Blocking analysis and \(T(1)\) theorem
• Carleson measures, trees, extrapolation, and \(T(b)\) theorems
• Fast algorithms for Calderón-Zygmund singular integral operators
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Fast wavelet transforms and numerical algorithms I
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral

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