Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions

DOI10.1090/S0002-9939-06-08403-6zbMath1093.26023OpenAlexW1543878460MaRDI QIDQ5290029

Lars-Erik Persson, Elena P. Ushakova, Vladimir D. Stepanov

Publication date: 24 April 2006

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08403-6

zbMATH Keywords

Borel measuresinequalities for monotone functionsHardy-type operators

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Inequalities for sums, series and integrals (26D15)

Related Items (12)

Two-sided Hardy-type inequalities for monotone functions ⋮ Two-sided Hardy-type inequalities for monotone functions ⋮ Hardy type inequalities with kernels: The current status and some new results ⋮ Hardy-type inequalities on the cones of monotone functions ⋮ The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions ⋮ A Class of Sub-elliptic Equations on the Heisenberg Group and Related Interpolation Inequalities ⋮ Weight boundedness of a class of quasilinear operators on the cone of monotone functions ⋮ Weight characterizations for the discrete Hardy inequality with kernel ⋮ Multidimensional Inequalities of Hardy and (Limit) Póolya-Knopp Types ⋮ ON WEIGHTED INEQUALITIES WITH GEOMETRIC MEAN OPERATOR ⋮ Pointwise bounds for integral type operators ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions

Cites Work

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• On the Hardy-type integral operators in Banach function spaces
• Weighted Hardy's inequalities for negative indices
• Weighted integral inequalities with the geometric mean operator
• Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
• Boundedness of classical operators on classical Lorentz spaces
• On the Principle of Duality in Lorentz Spaces
• The Weighted Hardy's Inequality for Nonincreasing Functions
• Weighted Norm Inequalities of Hardy Type for a Class of Integral Operators
• Spaces defined by the level function and their duals

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