Weighted Hardy inequalities

DOI10.1016/j.jmaa.2005.01.066zbMath1074.26004OpenAlexW2065168500MaRDI QIDQ2568189

Ritva Hurri-Syrjänen, David E. Edmunds

Publication date: 10 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.01.066

zbMATH Keywords

Hardy-type inequalitiesplump domains

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (9)

Interior transmission eigenvalue problem with refractive index having C²-transition to the background medium ⋮ A weighted Sobolev space theory of parabolic stochastic PDEs on non-smooth domains ⋮ Korn inequality on irregular domains ⋮ Characterizations of weighted Hardy-Rellich inequalities and their applications ⋮ An \(L_p\)-theory of SPDEs on Lipschitz domains ⋮ A singular parabolic equation with logarithmic nonlinearity and \(L^p\)-initial data ⋮ Hardy's inequality and Green function on metric measure spaces ⋮ On the rigid-lid approximation of shallow water Bingham ⋮ A \(W_p^n\)-theory of parabolic equations with unbounded leading coefficients on non-smooth domains

Uses Software

• PLUMP

Cites Work

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• Whitney cubes, p-capacity, and Minkowski content
• Remarks on the Hardy inequality
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• Change of variables for absolutely continuous functions
• Hardy Inequalities
• An Interpolation Problem for Bounded Analytic Functions
• Uniformly Fat Sets
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• On Hardy-Type Inequalities
• A geometrical version of Hardy’s inequality for \stackrel{∘}𝑊^{1,𝑝}(Ω)
• Exponential integrability of the quasi-hyperbolic metric on Hölder domains

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