Hardy's inequality in power-type weighted LP(•) (0, ?) spaces

In this article, our aim is to prove Hardy's inequality in power-type weighted L-p(.) (0, infinity) spaces by obtaining regularity condition on the exponents p(.), q(.) and alpha(.) defined at every point of the domain of test function with u(0) = 0 (or vanishing at infinity) under the log-Holder continuity conditions at the origin and infinity. (c) 2006 Elsevier Inc. All rights reserved.