Perturbation Method in Orlicz Sequence Spaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910551095902208 |
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| author | Topalova, Hristina Zlateva, Nadia |
| author_facet | Topalova, Hristina Zlateva, Nadia |
| contents | We develop a new perturbation method in Orlicz sequence spaces $\ell_M$ with Orlicz function $M$ satisfying $Δ_2$ 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 $σ_M$.
We give few examples how the method can be used for determining the type of the smoothness of certain Orlicz spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_11647 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Perturbation Method in Orlicz Sequence Spaces Topalova, Hristina Zlateva, Nadia Functional Analysis 46N10, 35A15, 49J45, 90C48 We develop a new perturbation method in Orlicz sequence spaces $\ell_M$ with Orlicz function $M$ satisfying $Δ_2$ 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 $σ_M$. We give few examples how the method can be used for determining the type of the smoothness of certain Orlicz spaces. |
| title | Perturbation Method in Orlicz Sequence Spaces |
| topic | Functional Analysis 46N10, 35A15, 49J45, 90C48 |
| url | https://arxiv.org/abs/2304.11647 |