The Hausdorff–Young inequality for Orlicz spaces on compact hypergroups
Volume 160 / 2020
Colloquium Mathematicum 160 (2020), 41-51
MSC: Primary 43A62, 46E30; Secondary 43A30.
DOI: 10.4064/cm7627-4-2019
Published online: 13 December 2019
Abstract
We prove the classical Hausdorff–Young inequality for the Lebesgue spaces on a compact hypergroup using interpolation of sublinear operators. We use this result to prove the Hausdorff–Young inequality for Orlicz spaces on a compact hypergroup.
