Hardy type inequality in variable lebesgue spaces

Humberto Rafeiro; Stefan Samko

Hardy type inequality in variable lebesgue spaces

Humberto Rafeiro
, Stefan Samko

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that in variable exponent spaces L^p(·)(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
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

Cite this

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Hardy type inequality in variable lebesgue spaces

Abstract

ASJC Scopus subject areas

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