Dilation estimates for Wiener amalgam spaces of Orlicz type

2024/03/05 by Busra Aris, Aris, Busra, Nenad Teofanov +3
Mathematics · #42B35 #46E30 #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2403.02732

openalex publication_date 2024/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend dilation properties of Wiener amalgam spaces when the local and global componenets are Lebesgue spaces to a more general setting of Orlicz spaces. We recover the result of Cordero and Nicola when restricted to Lebesgue spaces. In addition, we prove continuity of the Zak transform on Wiener amalgam spaces with Orlicz spaces as their local components.

Related

• Trace type Orlicz spaces and analysis of Orlicz spaces by Lebesgue exponents
• Trace operators on Wiener amalgam spaces
• Characterization of inclusion relations between wiener amalgam and some classical spaces
• Wiener Amalgam Spaces with respect to Quasi-Banach Spaces
• Pre-dual of Fofana's spaces