Strongly exposed points in Orlicz-Lorentz spaces equipped with the Orlicz norm

TL;DR

This paper characterizes strongly exposed points in Orlicz-Lorentz spaces with the Orlicz norm, providing criteria and conditions for these spaces to have this property, and introduces methods for dealing with decreasing rearrangements.

Contribution

It offers new necessary and sufficient conditions for strongly exposed points in Orlicz-Lorentz spaces and develops techniques for handling decreasing rearrangements.

Findings

Criteria for strongly exposed points in the unit ball.

Conditions for Orlicz-Lorentz spaces to have strongly exposed property.

Methods for analyzing decreasing rearrangements.

Abstract

The criterion for a point in the unit ball to be a strongly exposed point is given. The necessity and sufficiency conditions for Orlicz-Lorentz spaces to possess strongly exposed property are given. Besides, some useful methods are obtained to handle issues related to decreasing rearrangement.