A Hardy Inequality for Ultraspherical Expansions with an Application to the Sphere
We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions. Our result also implies a Hardy inequality on spheres with a potential having a double singularity. © 2017 Spri...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2018 |
| 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/5bbc693fb750603269e817da |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc693fb750603269e817da |
| Access Level: | acceso abierto |
| Palabra clave: | Hardy inequalities Ultraspherical expansions Uncertainty principles |
| Sumario: | We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions. Our result also implies a Hardy inequality on spheres with a potential having a double singularity. © 2017 Springer Science+Business Media New York |
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