A Bump Theorem for Weighted Embeddings and Maximal Operator: The Bellman Function Approach

DOI10.1007/978-3-319-51593-9_16zbMath1387.42021OpenAlexW2734337263MaRDI QIDQ4608804

Alexander Volberg

Publication date: 28 March 2018

Published in: Association for Women in Mathematics Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51593-9_16

zbMATH Keywords

bumping of weightMoreno's theorem

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (2)

Perfect dyadic operators: weighted \(T(1)\) theorem and two weight estimates ⋮ On Two Weight Estimates for Dyadic Operators

Cites Work

• Entropy conditions in two weight inequalities for singular integral operators
• On an estimate of Calderón-Zygmund operators by dyadic positive operators
• A Bellman function proof of the \(L^2\) bump conjecture
• Weights, extrapolation and the theory of Rubio de Francia.
• Sharp weighted estimates for classical operators
• Two weight inequalities for individual Haar multipliers and other well localized operators
• Sharp two-weight, weak-type norm inequalities for singular integral operators
• Logarithmic bump conditions and the two-weight boundedness of Calderón-Zygmund operators
• Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture
• The uncertainty principle
• A pointwise estimate for the local sharp maximal function with applications to singular integrals
• A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
• The Bellman functions and two-weight inequalities for Haar multipliers
• Weighted Norm Inequalities for Singular Integral Operators
• A characterization of a two-weight norm inequality for maximal operators
• Two-weight, weak-type norm inequalities for fractional integrals, Calderon-Zygmund 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
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A Bump Theorem for Weighted Embeddings and Maximal Operator: The Bellman Function Approach