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Hardy type L p-inequalities in r-close-to-convex domains© 2015, Allerton Press, Inc. We describe non-convex domains for which the Hardy constants

The punishing factors for convex pairs are 2n-1 with curvature and λ = -4 of Ω at z and of w, respectively. Then for any pair (Ω, ∏) of convex domains, f ∈ A

The punishing factors for convex pairs are 2n-1 with curvature and λ = -4 of Ω at z and of w, respectively. Then for any pair (Ω, ∏) of convex domains, f ∈ A

Hardy type L p-inequalities in r-close-to-convex domains© 2015, Allerton Press, Inc. We describe non-convex domains for which the Hardy constants

A Note about Torsional Rigidity and Euclidean Moment of Inertia of Plane Domains about a circle. For convex domains we show sharp isoperimetric inequalities, which justify

Families of domains with best possible hardy constantWe geometrically describe families of non-convex plane and spatial domains in which the basic Hardy

Comporable functionals of convex domainsComporable functionals of convex domains

Rellich type inequalities in domains of the Euclidean space inequalities for all non-convex domains of dimension d ≥ 2 provided that the domains satisfy the exterior

Hardy-Rellich inequalities in domains of the Euclidean space to the boundary of the domain. M.P. Owen proved that this inequality is valid in any convex domain with C2=9/16 (M

Punishing factors and Chua's conjectureLet Ω and ∏ be two simply connected domains in the complex plane ℂ which are not equal to the whole

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