On the structure of variable exponent spaces
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913862490521600 |
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| author | Flores, Julio Hernández, Francisco L. Ruiz, César Sanchiz, Mauro |
| author_facet | Flores, Julio Hernández, Francisco L. Ruiz, César Sanchiz, Mauro |
| contents | The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) $\lpv$. In the second part strictly singular and disjointly strictly singular operators between spaces $\lpv$ are studied. New results on the disjoint strict singularity of the inclusions $ L^{p(\cdot)}(Ω) \hookrightarrow L^{q(\cdot)}(Ω)$ are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_03613 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On the structure of variable exponent spaces Flores, Julio Hernández, Francisco L. Ruiz, César Sanchiz, Mauro Functional Analysis 46E30, 47B60 The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) $\lpv$. In the second part strictly singular and disjointly strictly singular operators between spaces $\lpv$ are studied. New results on the disjoint strict singularity of the inclusions $ L^{p(\cdot)}(Ω) \hookrightarrow L^{q(\cdot)}(Ω)$ are given. |
| title | On the structure of variable exponent spaces |
| topic | Functional Analysis 46E30, 47B60 |
| url | https://arxiv.org/abs/1911.03613 |