Generalized Orlicz norm and generalized Luxemburg norm. (Chinese. English summary) Zbl 1100.46503
Summary: Two new norms equivalent to the Orlicz norm and the Luxemburg norm are introduced on an Orlicz space. They are called generalized Orlicz norm and generalized Luxemburg norm, respectively. Another form is given for the generalized Orlicz norm, too.
MSC:
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
