Porosity of \(X^\Phi \) Spaces

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-02-03 DOI:10.1007/s40995-024-01764-z

AliReza Bagheri Salec, Ahmed Haroon Khaleel

引用次数: 0

Abstract

This paper aims to extend several well-known theorems regarding porosity in Lebesgue and Orlicz spaces to generalized Orlicz spaces associated with quasi-Banach spaces. We will explore the implications of these extensions and provide a comprehensive analysis of their significance in the broader context of functional analysis. Additionally, we will present results concerning homogeneous spaces, and relationships with the generalized Orlicz spaces.

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\(X^\Phi \)空间孔隙度

本文旨在将Lebesgue和Orlicz空间中关于孔隙度的几个著名定理推广到与拟banach空间相关的广义Orlicz空间。我们将探讨这些扩展的含义，并在功能分析的更广泛背景下对其意义进行全面分析。此外，我们将给出关于齐次空间的结果，以及与广义Orlicz空间的关系。

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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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