Hardy-type inequalities on the weighted cones of quasi-concave functions

DOI10.15352/bjma/09-2-3zbMath1312.26046OpenAlexW1535513828MaRDI QIDQ2341424

Lars-Erik Persson, Guldarya E. Shambilova, Vladimir D. Stepanov

Publication date: 24 April 2015

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1419001102

zbMATH Keywords

Lorentz spacemeasureweightconcave functionHardy-type inequalityquasi-concave function

Mathematics Subject Classification ID

Integral operators (47G10) Inequalities for sums, series and integrals (26D15)

Related Items

On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions ⋮ 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 ⋮ On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions ⋮ On the boundedness of a class of sublinear operators ⋮ Итерационные интегральные операторы на конусе монотонных функций ⋮ Iterated integral operators on the cone of monotone functions ⋮ Boundedness of quasilinear integral operators on the cone of monotone functions ⋮ Boundedness of a class of quasilinear operators on the cone of monotone functions ⋮ Weighted norm inequalities for positive operators restricted on the cone of λ-quasiconcave functions ⋮ On iterated and bilinear integral Hardy-type operators

Cites Work

• Unnamed Item
• Unnamed Item
• Three-weighted Hardy-type inequalities on the cone of quasimonotone functions
• Embeddings of concave functions and duals of Lorentz spaces.
• Discretization and anti-discretization of rearrangement-invariant norms
• Some new iterated Hardy-type inequalities
• Some new iterated Hardy-type inequalities: the case \({\theta=1}\)
• On weighted Hardy inequalities in mixed norms
• Reduction theorems for weighted integral inequalities on the cone of monotone functions
• Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• Boundedness of classical operators on classical Lorentz spaces
• On the Principle of Duality in Lorentz Spaces
• Integral Operators on the Cone of Monotone Functions
• The Weighted Hardy Inequality: New Proofs and the Case p = 1
• Weighted Hardy-type inequalities on the cone of quasi-concave functions