Doubling condition at the origin for non-negative positive definite functions
We study upper and lower estimates as well as the asymptotic behavior of the sharp constant C=Cn(U,V) in the doubling-type condition at the origin 1|V|∫Vf(x)dx≤C1|U|∫Uf(x)dx, where U,V⊂ℝn are 0-symmetric convex bodies and f is a non-negative positive definite function.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión borrador |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/378038 |
| Acceso en línea: | http://hdl.handle.net/2072/378038 |
| Access Level: | acceso abierto |
| Palabra clave: | Matemàtiques 51 |
| Sumario: | We study upper and lower estimates as well as the asymptotic behavior of the sharp constant C=Cn(U,V) in the doubling-type condition at the origin 1|V|∫Vf(x)dx≤C1|U|∫Uf(x)dx, where U,V⊂ℝn are 0-symmetric convex bodies and f is a non-negative positive definite function. |
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