Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds

TL;DR

This paper extends the classical Hausdorff-Young inequality to Orlicz spaces defined on compact homogeneous manifolds, broadening the scope of harmonic analysis in these geometric settings.

Contribution

It establishes the Hausdorff-Young inequality within the framework of Orlicz spaces on compact homogeneous manifolds for the first time.

Findings

Hausdorff-Young inequality proven for Orlicz spaces on compact homogeneous manifolds

Extension of harmonic analysis tools to more general function spaces

Potential applications in analysis on manifolds and related fields

Abstract

We prove the classical Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds.