Inclusions between Orlicz amalgam spaces on $\mathbb{R}^n$

Year 2025, Volume: 74 Issue: 4, 701 - 708, 24.12.2025

Büşra Arıs

https://doi.org/10.31801/cfsuasmas.1618568

Abstract

Let $\Phi_1, \Phi_2$ be Young functions. In this paper, we examine the inclusion relations among the Orlicz amalgam spaces $W(L^{\Phi_1} (\mathbb{R}^n), L^{\Phi_2} (\mathbb{R}^n))$, where the Orlicz spaces $L^{\Phi_1}(\mathbb{R}^n)$ and $L^{\Phi_2}(\mathbb{R}^n)$ are called the local and global components, respectively. Besides Lebesgue type Wiener amalgam spaces, our study is a generalization of the results that have been obtained for the Orlicz spaces and Lebesgue spaces.

Keywords

Wiener amalgam spaces , Orlicz spaces , Young function , inclusion

Supporting Institution

This research was funded by Scientific Research Projects Coordination Unit of İstanbul University, project number FBA-2023-39840.

Thanks

I would like to thank Prof. S. Öztop for critical reading of the manuscript and valuable suggestions on the subject.

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