Homeomorphisms acting on Besov an Triebel-Lizorkin paces of Local Regularity
The aim of this paper is to show that the integral and derivative operators defined by local regularities are homeomorphisms for generalized Besov and TriebelLizorkin spaces with local regularities. The underlying geometry is that of homogeneous type spaces and the functions defining local regularit...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/84063 |
| Acceso en línea: | http://hdl.handle.net/11336/84063 |
| Access Level: | acceso abierto |
| Palabra clave: | Fractional Integral Derivative Operator Generalized Besov and Triebel-Lizorkin Spaces https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | The aim of this paper is to show that the integral and derivative operators defined by local regularities are homeomorphisms for generalized Besov and TriebelLizorkin spaces with local regularities. The underlying geometry is that of homogeneous type spaces and the functions defining local regularities belong to a larger class of growth functions than the potentials t_, related to classical fractional integral and derivative operators and Besov and TriebelLizorkin spaces. |
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