Convolution of Two Weighted Orlicz Spaces on Hypergroups

Convolution of Two Weighted Orlicz Spaces on Hypergroups

Let K be a locally compact hypergroup. In this paper, among other results we give a sufficient condition for the inclusion LΦ1w (K) * LΦ2w (K) ⊆ LΦ1w (K) to hold. Also, as an application, we provide a new sufficient condition for the weighted Orlicz space LΦw (K) to be a convolution Banach algebra....

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Veröffentlicht in:Revista colombiana de matemáticas 2021-01, Vol.54 (2), p.117-128
Hauptverfasser: Tabatabaie, Seyyed Mohammad, Bagheri Salec, AliReza
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Banach spaces
Convolution
MATHEMATICS
Orlicz space
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Zusammenfassung:Let K be a locally compact hypergroup. In this paper, among other results we give a sufficient condition for the inclusion LΦ1w (K) * LΦ2w (K) ⊆ LΦ1w (K) to hold. Also, as an application, we provide a new sufficient condition for the weighted Orlicz space LΦw (K) to be a convolution Banach algebra.
ISSN:0034-7426
2357-4100
DOI:10.15446/recolma.v54n2.93841