Abstract

MOHAMMAD TABATABAIE, Seyyed  and  BAGHERI SALEC, AliReza. Convolution of Two Weighted Orlicz Spaces on Hypergroups. Rev.colomb.mat. [online]. 2020, vol.54, n.2, pp.117-128.  Epub Mar 05, 2021. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v54n2.93841.

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.

        · abstract in Spanish     · text in English     · English ( pdf )