\(L_p\)-versions of one conformally invariant inequality

DOI10.3103/S1066369X1808011XzbMath1402.35012OpenAlexW2884607291MaRDI QIDQ1792515

I. K. Shafigullin, Farit G. Avkhadiev, Ramil Nasibullin

Publication date: 12 October 2018

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

Full work available at URL: https://doi.org/10.3103/s1066369x1808011x

zbMATH Keywords

isoperimetric inequalityPoincaré metricHardy type inequalityuniformly perfect set

Mathematics Subject Classification ID

Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

SHARP CONFORMALLY INVARIANT HARDY-TYPE INEQUALITIES WITH REMAINDERS ⋮ Hardy's inequalities with remainders and Lamb-type equations ⋮ Conformal invariants of hyperbolic planar domains ⋮ Multidimensional Hardy type inequalities with remainders ⋮ Hardy type inequalities and parametric Lamb equation

Cites Work

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• Hardy-type inequalities in arbitrary domains with finite inner radius
• Hardy type inequalities in higher dimensions with explicit estimate of constants
• Domains with strong barrier
• Uniformly perfect sets and the Poincaré metric
• Related aspects of positivity in Riemannian geometry
• Hardy-type inequalities on planar and spatial open sets
• Integral inequalities in domains of hyperbolic type and their applications
• The exponent of convergence of Riemann surfaces. Bass Riemann surfaces
• Hardy’s inequality for 𝑊^{1,𝑝}₀-functions on Riemannian manifolds
• Schwarz-Pick Type Inequalities

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