On a counterexample related to weighted weak type estimates for singular integrals

DOI10.1090/proc/13496zbMath1362.42023arXiv1506.08317OpenAlexW2962682086WikidataQ124849896 ScholiaQ124849896MaRDI QIDQ2980820

Andrei K. Lerner, Sheldy Ombrosi, Marcela Caldarelli

Publication date: 4 May 2017

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

Full work available at URL: https://arxiv.org/abs/1506.08317

zbMATH Keywords

weightsHilbert transformweak type estimates

Mathematics Subject Classification ID

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

Related Items (7)

Unnamed Item ⋮ Endpoint entropy Fefferman-Stein bounds for commutators ⋮ On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture ⋮ The dual conjecture of Muckenhoupt and Wheeden ⋮ Sparse and weighted estimates for generalized Hörmander operators and commutators ⋮ ImprovedA₁−A_∞and Related Estimates for Commutators of Rough Singular Integrals ⋮ On commutators of certain fractional type integrals with Lipschitz functions

Cites Work

• On Muckenhoupt-Wheeden conjecture
• Two weight extrapolation via the maximal operator
• The \(L(\log L)^\epsilon\) endpoint estimate for maximal singular integral operators
• The Hilbert transform does not map \(L^1(M\omega)\) to \(L^{1,\infty}(\omega)\)
• Borderline weak‐type estimates for singular integrals and square functions
• Muckenhoupt–Wheeden conjectures in higher dimensions
• On weighted norm inequalities for the Carleson and Walsh-Carleson operator
• A weighted norm inequality for singular integrals
• Weighted Norm Inequalities for Singular Integral Operators
• Some Maximal Inequalities

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