The Holmes-Wick theorem on two-weight bounds for higher order commutators revisited

DOI10.1007/s00013-016-0956-5zbMath1354.42021arXiv1604.02244OpenAlexW2962712628MaRDI QIDQ330083

Tuomas P. Hytönen

Publication date: 24 October 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02244

zbMATH Keywords

BMO spacecommutatortwo-weight inequalityCalderón-Zygmund operator\(A_p\) weight

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Related Items

On the sharp-weighted norm estimate for the commutator of Littlewood-Paley operators ⋮ Two weighted estimates for the commutators of multilinear maximal singular integral operators with Dini-type kernels ⋮ Bloom type upper bounds in the product BMO setting ⋮ Commutators, BMO, Hardy spaces and factorization: a survey ⋮ Some quantitative one-sided weighted estimates ⋮ Two-weight commutator estimates: general multi-parameter framework ⋮ Multilinear commutators in the two‐weight setting ⋮ Bloom type inequality: the off-diagonal case ⋮ Commutators of multiparameter flag singular integrals and applications ⋮ On the commutators of Marcinkiewicz integrals with rough kernels in weighted Lebesgue spaces ⋮ Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution ⋮ The \(L^p\)-to-\(L^q\) boundedness of commutators with applications to the Jacobian operator ⋮ Sparse and weighted estimates for generalized Hörmander operators and commutators ⋮ Sparse domination and weighted inequalities for the \(\rho\)-variation of singular integrals and commutators ⋮ Weighted compactness for Calderón type commutators and oscillatory operators

Cites Work

• Sharp weighted bounds involving \(A_\infty\)
• The sharp weighted bound for general Calderón-Zygmund operators
• Factorization theorems for Hardy spaces in several variables
• Bloom's inequality: commutators in a two-weight setting
• A Commutator Theorem and Weighted BMO
• Two Weight Inequalities for Iterated Commutators with Calder\'on-Zygmund Operators

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