Approximation in Trigonometric Lipschitz Spaces
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| Auteurs: | , , , |
|---|---|
| Format: | artículo original |
| Statut: | Versión publicada |
| Date de publication: | 2021 |
| Description: | The approximation by generalized trigonometric polynomials for Lipschitz defined functions in certain groups depends on some properties of the group defined metric. Metrics which allow this approximation are called Lipschitz compatible. In this work we give for certain class of groups, conditions under which Lipschitz compatible metrics are boundedly equivalent, i.e., they generate the same Lipschitz space. In particular, for the multiplicative group of modulus one complex numbers the conditions are necessary and sufficient for the compatible Lipschitz metrics to be boundedly equivalent. |
| Pays: | Portal de Revistas UCR |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Langue: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/45440 |
| Accès en ligne: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/45440 |
| Mots-clés: | Lipschitz spaces invariant metrics trigonometric polynomials topological groups dual space espacios de Lipschitz métricas invariantes polinomios trigonométricos grupos topológicos espacio dual |