Multiresolution Approximations and Wavelet Bases of Weighted Lp Spaces
We study boundedness and convergence on Lp(ℝn, dμ) of the projection operators Pj given by MRA structures with non-necessarily compactly supported scaling function. As a consequence, we prove that if w is a locally integrable function such that w -1/p-1 (x)(1+|x|)-N is integrable for some N > 0,...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2003 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/100605 |
| Acceso en línea: | http://hdl.handle.net/11336/100605 |
| Access Level: | acceso abierto |
| Palabra clave: | AP WEIGHTS WAVELETS WEIGHTED LEBESGUE SPACES https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We study boundedness and convergence on Lp(ℝn, dμ) of the projection operators Pj given by MRA structures with non-necessarily compactly supported scaling function. As a consequence, we prove that if w is a locally integrable function such that w -1/p-1 (x)(1+|x|)-N is integrable for some N > 0, then the Muckenhoupt Ap condition is necessary and sufficient for the associated wavelet system to be an unconditional basis for the weighted space L p(ℝn, w(x) dx), 1 < p < ∞. |
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