Sharp weighted estimates for strong-sparse operators

DOI10.3103/S1068362322040070zbMath1497.42035arXiv2112.02358WikidataQ114039173 ScholiaQ114039173MaRDI QIDQ2676604

Gevorg Mnatsakanyan

Publication date: 28 September 2022

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.02358

zbMATH Keywords

power weightsweak type estimatesparse operatorsabstract measure spaceball-basis

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Integration with respect to measures and other set functions (28A25) Positive definite functions in one variable harmonic analysis (42A82)

Cites Work

• 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
• An elementary proof of the \(A_{2}\) bound
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• On a weak type estimate for sparse operators of strong type
• The A_2 theorem: Remarks and complements
• On weighted norm inequalities for the Carleson and Walsh-Carleson operator
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• An abstract theory of singular operators
• A Simple Proof of the A2 Conjecture
• Weighted Norm Inequalities for the Hardy Maximal Function

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