Nikishin s theorem, Orlicz type and factorization through Marcinkiewicz spaces
[EN] Consider L 0 , the F-space of all equivalence classes of measurable functions on a finite measure space equipped with the topology of convergence in measure. Inspired by Nikishin's classical result on the factorization of sublinear continuous operators from a Banach space to L 0 , we p...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/209463 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/209463 |
| Access Level: | acceso abierto |
| Palabra clave: | Lipschitz operator Marcinkiewicz space Orlicz space Nikishin theo- rem Rademacher type and cotype MATEMATICA APLICADA |
| Sumario: | [EN] Consider L 0 , the F-space of all equivalence classes of measurable functions on a finite measure space equipped with the topology of convergence in measure. Inspired by Nikishin's classical result on the factorization of sublinear continuous operators from a Banach space to L 0 , we prove a theorem that characterizes those maps from any quasi-metric space into L 0 that factor strongly through Marcinkiewicz weighted spaces. We show applications to sublinear operators on a certain class of quasi-Banach spaces with generalized Rademacher type generated by Orlicz sequence spaces. |
|---|