Wavelet expansions for weighted, vector-valued BMO functions
We introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p = 2 corresponds to the classical Carleson measure condition. Relations between the weighted BMO norm of a vector-valued function f: ℝ → X, and the Carleson norm of the sequence of its wavelet coeff...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/75190 |
| Acceso en línea: | http://hdl.handle.net/11336/75190 |
| Access Level: | acceso abierto |
| Palabra clave: | Wavelet Expansions Carleson Measure Bmo Functions Umd Spaces https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p = 2 corresponds to the classical Carleson measure condition. Relations between the weighted BMO norm of a vector-valued function f: ℝ → X, and the Carleson norm of the sequence of its wavelet coefficients, are established. These extend the results of Harboure-Salinas-Viviani, also in the scalar-valued case when p ≠ 2 |
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