- Tytuł:
- Some remarks on level functions and their applications
- Autorzy:
-
Foralewski, Paweł
Leśnik, Karol
Maligranda, Lech - Powiązania:
- https://bibliotekanauki.pl/articles/745238.pdf
- Data publikacji:
- 2016
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
- level functions, dual spaces, Orlicz−Lorentz spaces, Halperin spaces, Cesàro spaces
- Opis:
- 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.
- Źródło:
-
Commentationes Mathematicae; 2016, 56, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł