Algebraic property of weighted Lebesgue spaces on a class of hypergroups

	Algebraic property of weighted Lebesgue spaces on a class of hypergroups
AUT Journal of Mathematics and Computing
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 تیر 1404
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23979.1345
نویسندگان
Alireza Bagheri Salec^* ¹؛ Seyyed Mohammad Tabatabaie¹؛ Naeem Mankhi Oudah AlBehadili¹^{، 2}
¹Department of Mathematics, University of Qom, Qom, Iran
²Accounting technologies department, Technical institute of AMARA, Southern technical university, Basrah, Iraq
چکیده
In this paper, in the context of an important class of locally compact hypergroups i.e. $\mathcal{K}_{\rho}$ which were introduced by Dunkl and Ramirez, we find some sufficient condition on a weight $(w_n)_{n=0}^\infty\subseteq (0,\infty)$ so that the set \begin{equation} \left\{\big((f_k)_k,(g_k)_k\big)\in L^p(\mathcal{K}_{\rho})\times L^q(\mathcal{K}_{\rho}):\sum_{k=1}^\infty \|f_kg_k\|w_k^2\,\rho ^{k-1}<\infty\right\} \end{equation} to be a $\sigma$-$c$-lower porous set.
کلیدواژه‌ها
Locally compact hypergroups؛ $\sigma$-lower porous sets؛ Convolution؛ Weighted Lebesgue space؛ Convolution algebra

آمار تعداد مشاهده مقاله: 81

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