1. Department of Mathematics, Faculty of Science, King Abdulaziz University, North Jeddah, Jeddah, Saudi Arabia;2. Department of Mathematics, Faculty of Sciences of Bizerte, University of Carthage, Bizerte 7021, Tunisia
Abstract:
In this paper we shall extend Hardy's inequality associated with Fourier transform to the strip n(2-p) ≤ σ < n+p(N +1) where N = n(1/p-1)], the greatest integer not exceeding n(1/p−1).