Pointwise Hardy inequalities and uniformly fat sets

DOI10.1090/S0002-9939-08-09261-7zbMath1151.46021WikidataQ110020142 ScholiaQ110020142MaRDI QIDQ3506755

Juha Lehrbäck

Publication date: 17 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Potentials and capacities on other spaces (31C15)

Related Items (21)

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 ⋮ Fractional Hardy inequalities and visibility of the boundary ⋮ \(L^p\)-estimates for the square root of elliptic systems with mixed boundary conditions. II ⋮ Monotone Sobolev functions in planar domains: level sets and smooth approximation ⋮ The equivalence between pointwise Hardy inequalities and uniform fatness ⋮ Stress-driven local-solution approach to quasistatic brittle delamination ⋮ Sharp capacity estimates in S-John domains ⋮ Weighted Hardy inequalities beyond Lipschitz domains ⋮ Limits of Sobolev homeomorphisms ⋮ Weighted Hardy inequalities and the size of the boundary ⋮ The Kato square root problem for mixed boundary conditions ⋮ Characterizations for the Hardy Inequality ⋮ Diffeomorphic approximation of Sobolev homeomorphisms ⋮ Inequalities of Hardy–Sobolev Type in Carnot–Carathéodory Spaces ⋮ Lyapunov-type inequalities for partial differential equations ⋮ The extension problem for fractional Sobolev spaces with a partial vanishing trace condition ⋮ From adhesive to brittle delamination in visco-elastodynamics ⋮ The square root problem for second-order, divergence form operators with mixed boundary conditions on \(L^p\) ⋮ ON THE VARIATIONAL CONSTANT ASSOCIATED TO THE -HARDY INEQUALITY ⋮ Hardy's inequality for functions vanishing on a part of the boundary

Cites Work

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• Quasiconformal maps in metric spaces with controlled geometry
• Hardy's inequalities for Sobolev functions
• Hardy Inequalities
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ
• Uniformly Fat Sets
• Pointwise Hardy inequalities
• Hardy’s inequality and the boundary size

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