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arXiv · 2304.11647

Perturbation Method in Orlicz Sequence Spaces

Hristina Topalova·Nadia Zlateva
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Abstract

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.

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Hristina Topalova, Nadia Zlateva. 2023-04-23. Perturbation Method in Orlicz Sequence Spaces. https://doi.org/10.1007/s11228-024-00715-5

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