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Volume 7, Issue 3, Article 106 |
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On Hardy's Inequality in $L^{p(x)}(0,\infty)$
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Authors: |
Rabil A. Mashiyev, Bilal Çekiç, Sezai Ogras, |
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Keywords:
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Variable exponent, Hardy's inequality. |
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Date Received:
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14/10/05 |
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Date Accepted:
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07/04/06 |
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Subject Codes: |
46E35, 26D10.
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Editors: |
Lubos Pick, |
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Abstract: |
Our aim in this paper is to obtain Hardy's inequality in variable exponent Lebesgue spaces  , where the test function  vanishes at infinity. We use a local Dini-Lipschitz condition and its the natural analogue at infinity, which play a central role in our proof.
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