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Revista Colombiana de Matemáticas
versão impressa ISSN 0034-7426
Rev.colomb.mat. vol.54 no.2 Bogotá jul./dez. 2020 Epub 05-Mar-2021
https://doi.org/10.15446/recolma.v54n2.93841
Artículos originales
Convolution of Two Weighted Orlicz Spaces on Hypergroups
Convolución de dos espacios de Orlicz con pesos sobre hipergrupos
1 University of Qom, Qom, Iran
Let K be a locally compact hypergroup. In this paper, among other results we give a suficient condition for the inclusion L Φ1 w (K) * L Φ2 w (K) ⊆ LΦ1 w (K) to hold. Also, as an application, we provide a new suficient condition for the weighted Orlicz space L Φ w (K) to be a convolution Banach algebra.
Keywords: Locally compact group; locally compact hypergroup; weighted Orlicz space; Young function; convolution; Banach algebra
Sea K un hipergrupo localmente compacto. En este artículo, entre otros resultados, damos una condición suficiente para que se cumpla la inclusión L Φ1 w (K) * L Φ2 w (K) ⊆ LΦ1 w (K). Como una aplicación de este resultado, logramos dar una nueva condición suficiente para que el espacio de Orlicz con pesos L Φ w (K) sea un álgebra de Banach bajo la convolución.
Palabras clave: Grupos localmente compactos; hipergrupos localmente compactos; espacios de Orlicz con pesos; función de Young; convolución; álgebras de Banach
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Received: December 06, 2019; Accepted: May 27, 2020