Perturbation of Orthogonal Fourier Expansions
In this paper, a generalized Jacobi measure on [-1, 1] is perturbed by exponentials of functionsbof bounded mean oscillation. If we consider the Fourier series in orthogonal polynomials associated to each modification, then certain estimates (uniform inn∈N andbbelonging to some neighbourhood of the...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1998 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc6834b750603269e8048f |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc6834b750603269e8048f |
| Access Level: | acceso abierto |
| Palabra clave: | Fourier-Jacobi series Bessel series BMO Ap weights |
| Sumario: | In this paper, a generalized Jacobi measure on [-1, 1] is perturbed by exponentials of functionsbof bounded mean oscillation. If we consider the Fourier series in orthogonal polynomials associated to each modification, then certain estimates (uniform inn∈N andbbelonging to some neighbourhood of the origin) are obtained. As a consequence, the partial sum operators depend analytically on the functional parameterb. The case of the Bessel series is also considered. © 1998 Academic Press. |
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