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 Lp(·)(0,∞) spaces by obtaining regularity condition on the exponents p(·), q(·) and α(·) defined at every point of the domain of test function with u(0) = 0 (or vanishing at infinity) under the log-Hölder continuity conditions at the origin and infinity. © 2006 Elsevier Inc. All rights reserved.