Some remarks on level functions and their applications

• Autorzy: Paweł Foralewski , Karol Leśnik , Lech Maligranda
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

level functions, dual spaces, Orlicz−Lorentz spaces, Halperin spaces, Cesàro spaces

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2016
• Tom: 56
• Numer: 1

Daty

wydano

2016

online

2016-10-13

Twórcy

autor

Paweł Foralewski

autor

Karol Leśnik

autor

Lech Maligranda

Identyfikatory

DOI

10.14708/cm.v56i1.1142