Quadratic $A^1$ bounds for commutators of singular integrals with BMO functions

DOI10.1512/IUMJ.2011.60.4494zbMath1261.42023arXiv1104.1069OpenAlexW2963134468MaRDI QIDQ4905830

Carmen Ortiz-Caraballo

Publication date: 21 February 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1069

zbMATH Keywords

singular integralBMOcommutator\(A_1\)\(A_p\)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70)

Related Items (12)

Sharp bounds for general commutators on weighted Lebesgue spaces ⋮ A lower bound for \(A_{p}\) exponents for some weighted weak-type inequalities ⋮ The unified theory for the necessity of bounded commutators and applications ⋮ Sharp \(A_1\) weighted estimates for vector-valued operators ⋮ On pointwise and weighted estimates for commutators of Calderón-Zygmund operators ⋮ Exponential decay estimates for singular integral operators ⋮ Three Observations on Commutators of Singular Integral Operators with BMO Functions ⋮ Borderline weighted estimates for commutators of singular integrals ⋮ Weak and strong type estimates for the multilinear pseudo-differential operators ⋮ ImprovedA₁−A_∞and Related Estimates for Commutators of Rough Singular Integrals ⋮ Sparse domination and weighted inequalities for the \(\rho\)-variation of singular integrals and commutators ⋮ Borderline Weighted Estimates for Commutators of Fractional Integrals

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