Operator-free sparse domination

DOI10.1017/fms.2022.8zbMath1485.42026OpenAlexW4214777425MaRDI QIDQ5066135

Andrei K. Lerner, Sheldy Ombrosi, Emiel Lorist

Publication date: 29 March 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/fms.2022.8

zbMATH Keywords

Poincaré-Sobolev inequalitiesCoifman-Meyer-Stein theoremvector-valued vertical square function

Mathematics Subject Classification ID

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

Related Items (7)

Quantitative weighted estimates for harmonic analysis operators in the Bessel setting by using sparse domination ⋮ Extrapolation in general quasi-Banach function spaces ⋮ Quantitative John-Nirenberg inequalities at different scales ⋮ On the weak boundedness of multilinear Littlewood-Paley functions ⋮ A class of multilinear bounded oscillation operators on measure spaces and applications ⋮ BMO with respect to Banach function spaces ⋮ Bloom weighted bounds for sparse forms associated to commutators

Cites Work

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• On pointwise estimates involving sparse operators
• A pointwise estimate for positive dyadic shifts and some applications
• The sharp weighted bound for general Calderón-Zygmund operators
• A simple proof of the sharp weighted estimate for Calderón-Zygmund operators on homogeneous spaces
• Weighted variation inequalities for differential operators and singular integrals
• On sharp aperture-weighted estimates for square functions
• An elementary proof of the \(A_{2}\) bound
• Sharp weighted norm estimates beyond Calderón-Zygmund theory
• Weights, extrapolation and the theory of Rubio de Francia.
• The intrinsic square function
• The Banach space-valued BMO, Carleson's condition, and paraproducts
• Conical square function estimates in UMD Banach spaces and applications to \(H^{\infty}\)-functional calculi
• Some new function spaces and their applications to harmonic analysis.
• A vector-valued approach to tent spaces
• Sparse domination theorem for multilinear singular integral operators with \(L^r\)-Hörmander condition
• Sparse domination via the helicoidal method
• Maximal polynomial modulations of singular integrals
• On pointwise \(\ell^r\)-sparse domination in a space of homogeneous type
• Sparse bounds for pseudodifferential operators
• A weak type estimate for rough singular integrals
• Some remarks on the pointwise sparse domination
• Intuitive dyadic calculus: the basics
• A sparse domination principle for rough singular integrals
• Weighted Littlewood-Paley theory and exponential-square integrability
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Analysis in Banach Spaces
• On the good-$𝜆$ inequality for nonlinear potentials
• The A_2 theorem: Remarks and complements
• The $A_2$ theorem and the local oscillation decomposition for Banach space valued functions
• A pointwise estimate for the local sharp maximal function with applications to singular integrals
• Sparse domination for the lattice Hardy–Littlewood maximal operator
• Analysis in Banach Spaces
• A note on generalized Poincaré-type inequalities with applications to weighted improved Poincaré-type inequalities
• A sparse domination for the Marcinkiewicz integral with rough kernel and applications
• Classical Fourier Analysis
• Degenerate Poincaré–Sobolev inequalities
• A Simple Proof of the A2 Conjecture
• Extensions of the John–Nirenberg theorem and applications

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