On weighted Hardy inequalities in mixed norms

DOI10.1134/S0081543813080117zbMath1296.46029MaRDI QIDQ2446240

Dmitry Vladimirovich Prokhorov, Vladimir D. Stepanov

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

weighted Hardy inequalities

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) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (27)

Weighted estimates of a class of integral operators with three parameters ⋮ Weighted Hardy type inequalities for supremum operators on the cones of monotone functions ⋮ On a class of weighted inequalities containing quasilinear operators ⋮ Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions ⋮ ITERATED DISCRETE HARDY-TYPE INEQUALITIES ⋮ On iterated discrete Hardy type operators ⋮ Weighted estimates for a class of matrix operators ⋮ On the boundedness of a class of sublinear operators ⋮ Итерационные интегральные операторы на конусе монотонных функций ⋮ On bilinear weighted inequalities on the cone of nondecreasing functions ⋮ Unnamed Item ⋮ Lower bound for the Hardy constant for an arbitrary domain in $\mathbb{R}^n$ ⋮ Estimates for a class of sublinear integral operators ⋮ Weighted iterated discrete Hardy-type inequalities ⋮ Iterated integral operators on the cone of monotone functions ⋮ The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions ⋮ Weighted inequalities for iterated Copson integral operators ⋮ On weighted iterated Hardy-type inequalities ⋮ Boundedness of quasilinear integral operators on the cone of monotone functions ⋮ Weight boundedness of a class of quasilinear operators on the cone of monotone functions ⋮ Bounds for a class of quasilinear integral operators on the set of non-negative and non-negative monotone functions ⋮ On weighted iterated Hardy-type operators ⋮ On iterated and bilinear integral Hardy-type operators ⋮ Weighted estimates for a class of quasilinear integral operators ⋮ Boundedness of weighted iterated Hardy-type operators involving suprema from weighted Lebesgue spaces into weighted Cesàro function spaces ⋮ Inequalities involving fractional integrals of a function and its derivative ⋮ Hardy-type inequalities on the weighted cones of quasi-concave functions

Cites Work

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• Boundedness of the Riesz potential in local Morrey-type spaces
• Inequalities for Riemann-Liouville operator involving suprema
• On supremum operators
• Weighted inequalities for Hardy-type operators involving suprema
• On the imbedding of sequence spaces \(\ell ^ p(\mu)\) into \(\ell ^ r(\nu)\)
• Some new iterated Hardy-type inequalities
• On the Principle of Duality in Lorentz Spaces
• SOME ELEMENTARY INEQUALITIES, III
• Hardy Inequalities with Mixed Norms
• The Weighted Hardy Inequality: New Proofs and the Case p = 1
• Boundedness of the fractional maximal operator in local Morrey-type spaces
• Lorentz norm inequalities for the Hardy operator involving suprema

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