Author:
Tabatabaie Seyyed Mohammad,Bagheri Salec AliReza
Abstract
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.
Publisher
Universidad Nacional de Colombia
Reference19 articles.
1. F. Abtahi, R. Nasr Isfahani, and A. Rejali, Weighted Lp-conjecture for locally compact groups, Period. Math. Hungar. 60 (2010), 1-11.
2. W. R. Bloom and H. Heyer, Harmonic Analysis of Probability Measures on Hypergroups, De Gruyter, Berlin, 1995.
3. C. F. Dunkl, The measure algebra of a locally compact hypergroup, Trans. Amer. Math. Soc. 179 (1973), 331-348.
4. C. F. Dunkl and D. E. Ramirez, A family of countably compact P*-hypergroups, Trans. Amer. Math. Soc. 202 (1975), 339-356.
5. H. Hudzik, A. Kamiska, and J. Musielak, On some Banach algebras given by a modular, in: Alfred Haar Memorial Conference, Budapest, Colloquia Mathematica Societatis J anos Bolyai (North Holland, Amsterdam) 49 (1987), 445-463.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Orlicz Algebras Associated to a Banach Function Space;Hacettepe Journal of Mathematics and Statistics;2023-04-17
2. Isomorphisms of Orlicz spaces;Forum Mathematicum;2022-11-11