Some new two-sided inequalities concerning the Fourier transform
Aigerim Kopezhanova, Erlan Dautbekovich Nursultanov, Lars‐Erik Persson · Mathematical Inequalities & Applications · 2017
The classical Hausdorff-Young and Hardy-Littlewood-Stein inequalities do not hold for p > 2 . In this paper we prove that if we restrict to net spaces we can even derive a two-sided estimate for all p > 1 . In particular, this result generalizes a recent result by Liflyand E. and Tikhonov S.