A unified method for maximal truncated Calderón–Zygmund operators in general function spaces by sparse domination

DOI10.1017/S0013091519000300zbMath1440.42048arXiv1711.00203OpenAlexW2989581377MaRDI QIDQ5111612

Theresa C. Anderson, Bingyang Hu

Publication date: 27 May 2020

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00203

zbMATH Keywords

weighted inequalitiesBanach function spacessparse dominationmaximal truncations

Mathematics Subject Classification ID

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

Related Items (1)

Weighted variation inequalities for singular integrals and commutators in rearrangement invariant Banach and quasi-Banach spaces

Cites Work

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• A pointwise estimate for positive dyadic shifts and some applications
• Sharp weighted bounds involving \(A_\infty\)
• On an estimate of Calderón-Zygmund operators by dyadic positive operators
• The sharp weighted bound for general Calderón-Zygmund operators
• A simple proof of the sharp weighted estimate for Calderón-Zygmund operators on homogeneous spaces
• An elementary proof of the \(A_{2}\) bound
• Weights, extrapolation and the theory of Rubio de Francia.
• Uniform sparse domination of singular integrals via dyadic shifts
• A note on dyadic coverings and nondoubling Calderón-Zygmund theory
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• Intuitive dyadic calculus: the basics
• The \(L(\log L)^\epsilon\) endpoint estimate for maximal singular integral operators
• Hardy spaces on Ahlfors-regular quasi metric spaces. A sharp theory
• Boundedness of maximal singular integral operators on spaces of homogeneous type and its applications
• Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals
• Systems of dyadic cubes in a doubling metric space
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• Classical Fourier Analysis
• Modern Fourier Analysis
• A Simple Proof of the A2 Conjecture
• Some remarks on multilinear maps and interpolation

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