Some remarks on level functions and their applications

Abstract

A comparison of the level functions considered by Halperin and Sinnamon is discussed.Moreover, connections between Lorentz-type spaces, down spaces, Cesàro spaces, and Sawyer's duality formula are explained.Applying Sinnamon's ideas, we prove the duality theorem for Orlicz-Lorentz spaces which generalizes a recent result by Kamińska, Leśnik, and Raynaud (and Nakamura).Finally, some applications of the level functions to the geometry of Orlicz-Lorentz spaces are presented.

Locations

• Commentationes Mathematicae - View
• KTH Publication Database DiVA (KTH Royal Institute of Technology) - View - PDF