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On Hardy's Inequality in $L^{p(x)}(0,\infty)$  
 
  Authors: Rabil A. Mashiyev, Bilal Çekiç, Sezai Ogras,  
  Keywords: Variable exponent, Hardy's inequality.  
  Date Received: 14/10/05  
  Date Accepted: 07/04/06  
  Subject Codes:

46E35, 26D10.

  
  Editors: Lubos Pick,  
 
  Abstract:

Our aim in this paper is to obtain Hardy's inequality in variable exponent Lebesgue spaces $ L^{p(x)} (0,infty )$, where the test function $ u(x)$ 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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