D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces
Abstract The aim of this paper is to introduce new hyperbolic classes of functions, which will be called B∗α, log and F∗ log(p, q, s) classes. Furthermore, we introduce D-metrics space in the hyperbolic type classes B∗α, log and F∗ log(p, q,...
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| Auteurs principaux: | , |
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| Langue: | English |
| Publié: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2020
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| Accès en ligne: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000200215 |
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| Résumé: | Abstract The aim of this paper is to introduce new hyperbolic classes of functions, which will be called B∗α, log and F∗ log(p, q, s) classes. Furthermore, we introduce D-metrics space in the hyperbolic type classes B∗α, log and F∗ log(p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, necessary and sufficient conditions are given for the composition operator Cϕ to be bounded and compact from B∗α, log to F∗ log(p, q, s) spaces. |
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