Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators

DOI10.1090/S2330-1511-2014-00009-2zbMath1338.42018MaRDI QIDQ2814357

Carlos Pérez, Rodolfo H. Torres

Publication date: 21 June 2016

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

zbMATH Keywords

Calderón-Zygmund theorymultilinear singular integralsweak-type estimatesend-point estimates

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (13)

Multilinear strongly singular integral operators with generalized kernels and applications ⋮ Multilinear Calderón-Zygmund theory with geometric mean Hörmander conditions ⋮ Failure of the Hörmander kernel condition for multilinear Calderón-Zygmund operators ⋮ Multilinear commutators of multilinear strongly singular integral operators with generalized kernels ⋮ Multilinear Weighted Norm Inequalities Under Integral Type Regularity Conditions ⋮ Multilinear Calderón-Zygmund operators with kernels of Dini's type and applications ⋮ Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications ⋮ Multilinear theory of strongly singular Calderón-Zygmund operators and applications ⋮ Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type and applications ⋮ Weak and strong type estimates for multilinear Calderón-Zygmund operators on differential forms ⋮ An endpoint weak-type estimate for multilinear Calderón-Zygmund operators ⋮ A weighted endpoint weak-type estimate for multilinear Calderón-Zygmund operators ⋮ Estimates for the maximal bilinear singular integral operators

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• Weak type (1,1) bounds for rough operators. II
• A Hörmander type multiplier theorem for multilinear operators
• New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
• Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity
• Polynomial growth estimates for multilinear singular integral operators
• Weak type (1,1) bounds for rough operators
• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
• On Calderón's conjecture
• Multilinear estimates and fractional integration
• Multilinear Calderón-Zygmund theory
• On multilinear singular integrals of Calderón-Zygmund type
• On the existence of certain singular integrals
• The Hörmander multiplier theorem for multilinear operators
• On Commutators of Singular Integrals and Bilinear Singular Integrals
• Maximal operator and weighted norm inequalities for multilinear singular integrals
• Lack of natural weighted estimates for some singular integral operators
• Singular integral operators with rough convolution kernels
• On Multilinear Fourier Multipliers of Limited Smoothness

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