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 03 تیر 1404 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23979.1345 | ||
| نویسندگان | ||
| Seyyed Mohammad Tabatabaie1؛ AliReza Bagheri Salec* 1؛ 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, namely $\mathcal{K}_{\rho}$, which were introduced by Dunkl and Ramirez, we find some sufficient conditions on a weight $(w_n)_{n=0}^\infty\subseteq (0,\infty)$ such 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*} is a $\sigma$-$c$-lower porous set. | ||
| کلیدواژهها | ||
| Locally compact hypergroups؛ $\sigma$-lower porous sets؛ Convolution؛ Weighted Lebesgue space؛ Convolution algebra | ||
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آمار تعداد مشاهده مقاله: 282 |
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