A $T(b)$ theorem on product spaces

DOI10.1090/S0002-9947-2015-06246-1zbMath1327.42018arXiv1410.8055OpenAlexW2907388937MaRDI QIDQ5264917

Yumeng Ou

Publication date: 20 July 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8055

zbMATH Keywords

Calderón-Zygmund operatorssingular integralsproduct spaces\(T(b)\) theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (11)

Representation of singular integrals by dyadic operators, and the \(A_2\) theorem ⋮ Higher order Journé commutators and characterizations of multi-parameter BMO ⋮ On the boundedness of biparameter Littlewood-Paley \(g_\lambda^\ast\)-function ⋮ Characterizations of product Hardy spaces in Bessel setting ⋮ Tb theorem on product spaces ⋮ Bloom type inequality: the off-diagonal case ⋮ Some obstacles in characterising the boundedness of bi-parameter singular integrals ⋮ Bi-parameter Littlewood-Paley operators with upper doubling measures ⋮ Non-homogeneous \(T_b\) theorem for bi-parameter \(g\)-function ⋮ Boundedness of bi-parameter Littlewood-Paley operators on product Hardy space ⋮ On the boundedness of multilinear fractional strong maximal operators with multiple weights

Cites Work

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• $H^1$ and dyadic $H^1$
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• Paraproducts in one and several parameters

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