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

2025/11/17 by Di Wang, Wang, Di., Yongjin Li +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Banach Space Theory #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2511.12849

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.

Citations

• Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities
• Interpolation of linear operators

Related

• Extreme points, strongly extreme points and exposed points in Orlicz--Lorentz spaces
• Almost compact embeddings between Orlicz and Lorentz spaces
• The structure of subspaces in Orlicz spaces between L¹ and L²
• Non-squareness and local uniform non-squareness properties of Orlicz-Lorentz function spaces endowed with the Orlicz norm
• Embeddings of Orlicz-Lorentz spaces into L₁