Lipschitz (q, p)-Summing Maps from C(K)-Spaces to Metric Spaces
[EN] Variants of the notion of (q, p)-summing operator are introduced in the setting of Lipschitz mappings acting between metric spaces. Some classes of these operators from C(K)-spaces to metric spaces are studied. An integral domination estimate is proved for a class of the mentioned Lipschitz (q,...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| 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:10251/213321 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/213321 |
| Access Level: | acceso abierto |
| Palabra clave: | Lipschitz map Integral domination Summing operator Concave operator Pisier&apos s theorem MATEMATICA APLICADA |
| Sumario: | [EN] Variants of the notion of (q, p)-summing operator are introduced in the setting of Lipschitz mappings acting between metric spaces. Some classes of these operators from C(K)-spaces to metric spaces are studied. An integral domination estimate is proved for a class of the mentioned Lipschitz (q, p)-summing maps. It is shown that under some conditions this domination is equivalent to (q, 1)-summability of these Lipschitz maps. As an application, we recover Pisier's result, which provides this equivalence in the setting of the linear operators. |
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