Hardy-type inequalities in arbitrary domains with finite inner radius

DOI10.1134/S0037446614020013zbMath1315.26016MaRDI QIDQ483426

Ramil Nasibullin, Farit G. Avkhadiev

Publication date: 17 December 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hardy-type inequalitydistance to a boundaryfinite inner radius

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (20)

Nonlocal trace spaces and extension results for nonlocal calculus ⋮ Weighted Hardy type inequalities and parametric Lamb equation ⋮ Brezis-Marcus type inequalities with Lamb constant ⋮ Hardy type inequalities with weights dependent on the Bessel functions ⋮ Hardy type inequalities involving gradient of distance function ⋮ SHARP CONFORMALLY INVARIANT HARDY-TYPE INEQUALITIES WITH REMAINDERS ⋮ Hardy and Rellich type inequalities with remainders ⋮ Hardy type inequalities for fractional integrals and derivatives of Riemann-Liouville ⋮ Hardy-type inequalities with sharp constants in domains lambda-close to convex ⋮ Properties and applications of the distance functions on open sets of the Euclidean space ⋮ The geometry of one-dimensional and spatial Hardy type inequalities ⋮ Sharp Hardy type inequalities with weights depending on Bessel function ⋮ Hardy's inequalities with remainders and Lamb-type equations ⋮ Conformal invariants of hyperbolic planar domains ⋮ Selected results and open problems on Hardy-Rellich and Poincaré-Friedrichs inequalities ⋮ \(L_p\)-versions of one conformally invariant inequality ⋮ Multidimensional Hardy type inequalities with remainders ⋮ Hardy type inequalities and parametric Lamb equation ⋮ Inequalities involving fractional integrals of a function and its derivative ⋮ Hardy–Rellich integral inequalities in domains satisfying the exterior sphere condition

Cites Work

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• A Hardy-type inequality and its applications
• Sharp Hardy-type inequalities with Lamb's constant
• Weighted Hardy inequalities with sharp constants
• Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space
• Hardy type inequalities in higher dimensions with explicit estimate of constants
• A logarithmic Hardy inequality
• A note on certain inequalities related to Hardy's inequality
• A geometrical version of Hardy's inequality
• Hardy-type inequalities on planar and spatial open sets
• Generalized Hardy inequality for the magnetic Dirichlet forms
• An improved Hardy-Sobolev inequality and its application
• Hardy Inequalities
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ
• Uniformly Fat Sets
• Hardy’s inequality for 𝑊^{1,𝑝}₀-functions on Riemannian manifolds
• Unified Poincaré and Hardy inequalities with sharp constants for convex domains

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