Extrapolation on the cone of decreasing functions

DOI10.1016/J.JAT.2012.02.005zbMath1246.46015OpenAlexW2094199122MaRDI QIDQ420776

Anca-Nicolea Marcoci, María Jesús Carro, Liviu-Gabriel Marcoci

Publication date: 23 May 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.02.005

zbMATH Keywords

Hardy operatordecreasing functionLorentz spacesRiemann-Liouville fractional operatorextrapolation theory

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70)

Related Items (2)

Optimal behavior of weighted Hardy operators on rearrangement‐invariant spaces ⋮ Exact calculation of sums of cones in Lorentz spaces

Cites Work

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• On Riemann-Liouville operators
• Weighted norm inequalities for averaging operators of monotone functions
• New extrapolation estimates
• Endpoint estimates from restricted rearrangement inequalities.
• Notes on Fourier analysis. XXIX. An extrapolation theorem
• Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
• Weighted Inequalities for a Class of Volterra Convolution Operators
• Weighted Inequalities for Riemann-Liouville Fractional Integrals of Order One and Greater
• Boundedness of classical operators on classical Lorentz spaces
• Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates
• Weighted Norm Inequalities for Operators of Hardy Type
• Real interpolation for divisible cones
• Boundedness of Some Integral Operators
• A useful estimate for the decreasing rearrangement of the sum of functions
• Rubio de Francia’s extrapolation theorem for $B_p$ weights
• Hardy's inequality with weights

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