A new quantitative two weight theorem for the Hardy-Littlewood maximal operator

DOI10.1090/S0002-9939-2014-12353-7zbMath1318.42024arXiv1305.0415OpenAlexW1981001843MaRDI QIDQ5496305

Ezequiel Rela, Carlos Pérez

Publication date: 30 January 2015

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

Full work available at URL: https://arxiv.org/abs/1305.0415

zbMATH Keywords

maximal functionHardy-Littlewood maximal operatorspace of homogeneous typeMuckenhoupt weightCalderón-Zygmund operatortwo weight theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Harmonic analysis on homogeneous spaces (43A85) Analysis on metric spaces (30L99)

Related Items (11)

Perfect dyadic operators: weighted \(T(1)\) theorem and two weight estimates ⋮ A quantitative approach to weighted Carleson condition ⋮ Characterization of two-weighted inequalities for multilinear fractional maximal operator ⋮ Unnamed Item ⋮ On Two Weight Estimates for Dyadic Operators ⋮ Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution ⋮ Reverse Hölder property for strong weights and general measures ⋮ Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations ⋮ On the necessity of bump conditions for the two-weighted maximal inequality ⋮ Weighted Lorentz spaces: sharp mixed \(A_p - A_\infty\) estimate for maximal functions ⋮ The \(L(\log L)^\epsilon\) endpoint estimate for maximal singular integral operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the \(A_\infty\) conditions for general bases
• Sharp weighted bounds involving \(A_\infty\)
• Weighted inequalities for the dyadic square function without dyadic \(A_{\infty}\)
• Lipschitz functions on spaces of homogeneous type
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• Equivalent definitions of dyadic Muckenhoupt and reverse Hölder classes in terms of Carleson sequences, weak classes, and comparability of dyadic \(L \log L\) and \(A_\infty\) constants
• Two-weight norm inequalities for potential type and maximal operators in a metric space
• The Hardy-Littlewood maximal type operators between Banach function spaces
• Mixed A_p-A_∞estimates with one supremum
• A $B_p$ condition for the strong maximal function
• Weighted Norm Inequalities for the Hardy-Littlewood Maximal Operator on Spaces of Homogeneous Type
• A Description of Weights Satisfying the A ∞ Condition of Muckenhoupt
• Sharp one-weight and two-weight bounds for maximal operators
• Inserting A p -Weights
• Singular Integrals and Approximate Identities on Spaces of Homogeneous Type
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Maximal operators on spaces of homogeneous type
• A characterization of a two-weight norm inequality for maximal operators
• On Sufficient Conditions for the Boundedness of the Hardy-Littlewood Maximal Operator between Weighted L^p -Spaces with Different Weights
• Uncertainty principle estimates for vector fields

This page was built for publication: A new quantitative two weight theorem for the Hardy-Littlewood maximal operator