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- Title
Some Necessary and Sufficient Conditions for Convolution Weighted Orlicz Algebras.
- Authors
Bagheri Salec, AliReza; Tabatabaie, Seyyed Mohammad
- Abstract
In this paper, we give some sufficient conditions for a weighted Orlicz space L w Φ (G) to be a convolution Banach algebra, where G is a locally compact group and Φ is a Young function. Also, we prove a hereditary property regarding the discrete subgroups of G. Furthermore, we show that if G be an abelian locally compact group with an open compact subgroup, (Φ , Ψ) be a complementary pair of N-functions, and L w Φ (G) be a convolution Banach algebra, then 1 w ∗ ∈ L Ψ (G) .
- Subjects
COMPACT groups; BANACH algebras; ALGEBRA; ORLICZ spaces
- Publication
Bulletin of the Iranian Mathematical Society, 2022, Vol 48, Issue 5, p2509
- ISSN
1018-6301
- Publication type
Article
- DOI
10.1007/s41980-021-00655-y