Abstract
We prove that in variable exponent spaces Lp(·)(Ω), where p(·) satisfies the log condition and Ω is a bounded domain in Rn with the property that Rn\Ω has the cone property, the validity of the Hardy type inequality where δ(x) = dist(x, ∂Ω), is equivalent to a certain property of the domain Ω expressed in terms of α and χΩ.
Original language | English |
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Pages (from-to) | 279-289 |
Number of pages | 11 |
Journal | Annales Academiae Scientiarum Fennicae Mathematica |
Volume | 34 |
Issue number | 1 |
Publication status | Published - 2009 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics