Hardy’s inequality and the boundary size
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Publication:4787501
DOI10.1090/S0002-9939-02-06711-4zbMath1018.26008MaRDI QIDQ4787501
Publication date: 7 January 2003
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Generalizations of potential theory (31C99)
Related Items (27)
Hardy inequalities and Assouad dimensions ⋮ In between the inequalities of Sobolev and Hardy ⋮ The weighted Hardy inequality and self-adjointness of symmetric diffusion operators ⋮ A note on the dimensions of Assouad and Aikawa ⋮ The essential self-adjointness of Schrödinger operators on domains with non-empty boundary ⋮ Equivalence and self-improvement of \(p\)-fatness and Hardy's inequality, and association with uniform perfectness ⋮ Stability of stationary solutions for semilinear heat equations with concave nonlinearity ⋮ Self-improvement of uniform fatness revisited ⋮ The Hajłasz capacity density condition is self-improving ⋮ Stability and instability of stationary solutions for sublinear parabolic equations ⋮ Pointwise Hardy inequalities and uniformly fat sets ⋮ Symmetric mountain pass lemma and sublinear elliptic equations ⋮ The equivalence between pointwise Hardy inequalities and uniform fatness ⋮ A short proof of the self-improving regularity of quasiregular mappings ⋮ Weighted Hardy inequalities beyond Lipschitz domains ⋮ The Assouad dimension of randomly generated fractals ⋮ New dimension spectra: finer information on scaling and homogeneity ⋮ Quasiadditivity of variational capacity ⋮ Weighted Hardy inequalities and the size of the boundary ⋮ Assouad type dimensions in geometric analysis ⋮ Characterizations for the Hardy Inequality ⋮ Maximal Functions in Sobolev Spaces ⋮ The weighted Hardy constant ⋮ Self-improvement of pointwise Hardy inequality ⋮ Self-improvement of weighted pointwise inequalities on open sets ⋮ Hardy inequalities in Triebel-Lizorkin spaces. II: Aikawa dimension ⋮ ON THE VARIATIONAL CONSTANT ASSOCIATED TO THE -HARDY INEQUALITY
Cites Work
- Weighted Hardy spaces
- Quasiconformal maps in metric spaces with controlled geometry
- Fat sets and pointwise boundary estimates for \(p\)-harmonic functions in metric spaces
- Potential theory - selected topics
- Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality
- Hardy Inequalities
- On Strong Barriers and an Inequality of Hardy for Domains in R n
- Uniformly Fat Sets
- Poincaré inequalities and quasiconformal structure on the boundary of some hyperbolic buildings
- On very weak solutions of certain elliptic systems
- Sobolev met Poincaré
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