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<p>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.</p>

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Porosity of \(X^\Phi \) Spaces

  • 期刊论文

  • 发表日期：

    2025年2月3日

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  • AliReza Bagheri Salec,
  • Ahmed Haroon Khaleel

摘要

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.