超群上两个加权Orlicz空间的卷积

Q4 Mathematics Revista Colombiana de Matematicas Pub Date : 2021-01-24 DOI:10.15446/recolma.v54n2.93841

S. M. Tabatabaie, A. Bagheri Salec

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引用次数: 4

摘要

设K是一个局部紧超群。本文给出了包含物LΦ1w (K) * LΦ2w (K)拟物LΦ1w (K)成立的充分条件。作为应用，给出了加权Orlicz空间LΦw (K)是卷积Banach代数的一个新的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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