Sharp constants in Hardy type inequalities

DOI10.3103/S1066369X15100060zbMath1336.26027OpenAlexW2282595236MaRDI QIDQ906373

Farit G. Avkhadiev

Publication date: 21 January 2016

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x15100060

zbMATH Keywords

hypergeometric functionsdistance functionHardy type inequalitiesnon-convex domainHardy constants

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (6)

Rellich type inequalities in domains of the Euclidean space ⋮ The weighted Hardy inequality and self-adjointness of symmetric diffusion operators ⋮ Rellich inequalities for polyharmonic operators in plane domains ⋮ Hardy-type inequalities with sharp constants in domains lambda-close to convex ⋮ HARDY AND RELLICH INEQUALITIES ON THE COMPLEMENT OF CONVEX SETS ⋮ The weighted Hardy constant

Cites Work

• Unnamed Item
• Unnamed Item
• Sharp estimates of Hardy constants for domains with special boundary properties
• Sharp Hardy-type inequalities with Lamb's constant
• Hardy type inequalities in higher dimensions with explicit estimate of constants
• Hardy-type inequalities on planar and spatial open sets
• Families of domains with best possible Hardy constant
• Hardy type \(L_p\)-inequalities in \(r\)-close-to-convex domains
• A geometric description of domains whose Hardy constant is equal to 1/4
• The best possible constant in generalized Hardy's inequality for convex domain in rn
• On the best constant for Hardy’s inequality in $\mathbb {R}^n$
• Hardy’s inequality for 𝑊^{1,𝑝}₀-functions on Riemannian manifolds
• A unified approach to improved $L^p$ Hardy inequalities with best constants
• THE HARDY CONSTANT
• Hardy Inequalities for Nonconvex Domains
• Unified Poincaré and Hardy inequalities with sharp constants for convex domains

This page was built for publication: Sharp constants in Hardy type inequalities