Fractional integrals and \(A_p\)-weights: a sharp estimate

DOI10.1016/J.CRMA.2009.09.001zbMath1180.26001OpenAlexW2002884998MaRDI QIDQ1040555

Carlo Sbordone, Teresa Alberico, Andrea Cianchi

Publication date: 25 November 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.09.001

zbMATH Keywords

fractional integralssharp estimateRiesz potentials

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

Local grand Lebesgue spaces on quasi-metric measure spaces and some applications ⋮ On the Kato problem and extensions for degenerate elliptic operators ⋮ A two-weight Sobolev inequality for Carnot-Carathéodory spaces ⋮ A Sobolev inequality with reciprocal weights

Cites Work

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• Beltrami operators in the plane
• Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
• A Note on a Weighted Sobolev Inequality
• The local regularity of solutions of degenerate elliptic equations
• Weighted norm inequalities for maximal functions and singular integrals
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• On Certain Convolution Inequalities
• Weighted Norm Inequalities for Fractional Integrals
• The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic
• The sharp weighted bound for the Riesz transforms
• Weighted Norm Inequalities for the Hardy Maximal Function

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