Linear and bilinear 𝑇(𝑏) theorems à la Stein

DOI10.1090/bproc/18zbMath1343.42009arXiv1502.02260OpenAlexW2964002844MaRDI QIDQ2795852

Árpád Bényi, Tadahiro Oh

Publication date: 22 March 2016

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02260

zbMATH Keywords

Calderón-Zygmund operators\(T(1)\) theorembilinear operators\(T(b)\) theorems

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear operators on function spaces (general) (47B38)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators
• A boundedness criterion for generalized Calderón-Zygmund operators
• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• Polynomial growth estimates for multilinear singular integral operators
• Calderón-type reproducing formula and the \(Tb\) theorem
• Multilinear Calderón-Zygmund theory
• On multilinear singular integrals of Calderón-Zygmund type
• A bilinear T(b) theorem for singular integral operators
• \(H^p\) spaces of several variables
• A new proof of the bilinear T(1) Theorem
• Modern Fourier Analysis