Perturbation Method in Orlicz Sequence Spaces

Autor: Topalova, Hristina, Zlateva, Nadia
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s11228-024-00715-5
Popis: We develop a new perturbation method in Orlicz sequence spaces $\ell_M$ with Orlicz function $M$ satisfying $\Delta_2$ condition at zero. This result allows one to support from below any bounded below lower semicontinuous function with bounded support, with a perturbation of the defining function $\sigma_M$. We give few examples how the method can be used for determining the type of the smoothness of certain Orlicz spaces.
Databáze: arXiv