与巴拿赫函数空间相关的广义奥立兹空间上的乘法算子

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-10-05 DOI:10.1007/s40995-024-01723-8

Büsra Aris, Serap Öztop, Seyyed Mohammad Tabatabaie, Badik Hüseyin Uysal, Rüya Üster

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引用次数: 0

摘要

在本文中，我们研究了与巴纳赫函数空间 X 相关的广义奥利奇空间 \(X^\Phi\) 上的乘法算子，其中 \(\Phi\) 是一个杨函数，并给出了它们定义明确且有界的一些特征。同时，我们还提出了此类算子紧凑或可反的充分必要条件。此外，我们还找到了上下文度量空间离散时 \(X^\Phi\) 上乘法算子的基本规范。本文的许多结果涵盖了与奥立兹函数空间相关的已知巴拿赫函数空间。

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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Multiplication Operators on Generalized Orlicz Spaces Associated to Banach Function Spaces

In this paper, we study multiplication operators on generalized Orlicz spaces \(X^\Phi\) associated to a Banach function space X, where \(\Phi\) is a Young function, and give some characterization of them to be well-defined and bounded. Also, we present some sufficient and necessary conditions for such operators to be compact or invertible. Moreover, we find the essential norm of a multiplication operator on \(X^\Phi\) while the context measure space is discrete. Many results of this paper cover known Banach function spaces related to Orlicz one.

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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences