The classical Hausdorff-Young and Hardy-Littlewood-Stein inequalities, relating functions on ℝ and their Fourier transforms, are extended and complemented in various ways. In particular, a variant of the Hardy-Littlewood-Stein inequality covering the case p ≥2 is proved and two-sided estimates are derived.
Validerad;2017;Nivå 2;2017-08-14 (kribac)