Some remarks on level functions and their applications
Some remarks on level functions and their applications
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 …