\(Tb\) theorem for the generalized singular integral operator on product Lipschitz spaces with para-accretive functions

zbMath1454.42014MaRDI QIDQ2006016

Taotao Zheng, Xiang Xing Tao

Publication date: 8 October 2020

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2020/26-43.html

zbMATH Keywords

Besov spacesLittlewood-Paley theorypara-accretive functiongeneralized singular integral operatorproduct homogeneous Lipschitz spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30)

Related Items (2)

\(T1\) theorem on homogeneous product Besov spaces and product Triebel-Lizorkin spaces ⋮ Algebras of Calderón-Zygmund Operators on RD Spaces

Cites Work

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• Hardy spaces and the \(Tb\) Theorem
• Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.
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• A bilinear T(b) theorem for singular integral operators
• \(H^p\) spaces of several variables
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• Lipschitz Spaces on Stratified Groups
• $Tb$ criteria for Calderon--Zygmund operators on Lipschitz spaces with para-accretive functions
• Tb theorem on product spaces

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