On Haar Bases for Generalized Dyadic Hardy Spaces
In this note we prove that Haar type systems are unconditional basis in the generalized dyadic Hardy space HD 1 in the setting of spaces of homogeneous type. As a consequence, we obtain an alternative proof of the unconditionality of such basis in Lebesgue spaces on spaces of homogeneous type.
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/9067 |
| Acceso en línea: | http://hdl.handle.net/11336/9067 |
| Access Level: | acceso abierto |
| Palabra clave: | HAAR BASIS UNCONDITIONAL BASIS HARDY AND LEBESGUE SPACES SPACES OF HOMOGENEOUS TYPE https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this note we prove that Haar type systems are unconditional basis in the generalized dyadic Hardy space HD 1 in the setting of spaces of homogeneous type. As a consequence, we obtain an alternative proof of the unconditionality of such basis in Lebesgue spaces on spaces of homogeneous type. |
|---|