Rubio de Francia’s extrapolation theorem for $B_p$ weights

DOI10.1090/S0002-9939-09-10040-0zbMath1185.26025OpenAlexW1996734240MaRDI QIDQ5189187

María Lorente, María Jesús Carro

Publication date: 8 March 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10040-0

zbMATH Keywords

monotone functions\(B_p\) weightsExtrapolationCalderón and Riemann-Liouville operator

Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

Rubio de Francia extrapolation results for grand Lebesgue spaces defined on sets having possibly infinite measure ⋮ Hardy type operators on grand Lebesgue spaces for non-increasing functions ⋮ Extrapolation on the cone of decreasing functions ⋮ Unnamed Item ⋮ Weighted criteria for the Hardy transform under the \(B_p\) condition in grand Lebesgue spaces and some applications

Cites Work

• Extensions of Rubio de Francia extrapolation theorem
• Extrapolation from \(A_{\infty}\) weights and applications
• Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals
• Functional properties of rearrangement invariant spaces defined in terms of oscillations
• On the connection between weighted norm inequalities, commutators and real interpolation
• Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
• Factorization Theory and A P Weights
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• Weighted Norm Inequalities for General Operators on Monotone Functions
• Boundedness of Some Integral Operators

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