On a weak type estimate for sparse operators of strong type

DOI10.3103/S1068362319040046zbMath1440.42060arXiv1901.09952OpenAlexW2971241426MaRDI QIDQ2290085

Gevorg Mnatsakanyan, Grigori A. Karagulyan

Publication date: 27 January 2020

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/1901.09952

zbMATH Keywords

weak type estimatesparse operatorCalderon-Zygmund operatorabstract 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)

Related Items (1)

Sharp weighted estimates for strong-sparse operators

Cites Work

• A pointwise estimate for positive dyadic shifts and some applications
• 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
• Weighted martingale multipliers in the non-homogeneous setting and outer measure spaces
• On weighted norm inequalities for the Carleson and Walsh-Carleson operator
• An abstract theory of singular operators
• A Simple Proof of the A2 Conjecture

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