Perturbation Method in Orlicz Sequence Spaces
Functional Analysis
2024-08-05 v1
Abstract
We develop a new perturbation method in Orlicz sequence spaces with Orlicz function satisfying 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 . We give few examples how the method can be used for determining the type of the smoothness of certain Orlicz spaces.
Keywords
Cite
@article{arxiv.2304.11647,
title = {Perturbation Method in Orlicz Sequence Spaces},
author = {Hristina Topalova and Nadia Zlateva},
journal= {arXiv preprint arXiv:2304.11647},
year = {2024}
}