Abstract
Suppose that a domain Ω ⊂ ℝn admits the (p, β0)-Hardy inequality, i.e. that holds for all . Here . We show that then there exists ε > 0 such that Ω admits (q, β)-Hardy inequalities for all p – ε < q < p + ε and all β0 – ε < β < β0 + ε.
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