Dilation estimates for Wiener amalgam spaces of Orlicz type

Fuente: arXiv
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Hauptverfasser: Aris, Busra, Teofanov, Nenad, Oztop, Serap
Format: Preprint
Veröffentlicht: 2024
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author Aris, Busra
Teofanov, Nenad
Oztop, Serap
author_facet Aris, Busra
Teofanov, Nenad
Oztop, Serap
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_02732
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dilation estimates for Wiener amalgam spaces of Orlicz type
Aris, Busra
Teofanov, Nenad
Oztop, Serap
Functional Analysis
46E30, 42B35
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.
title Dilation estimates for Wiener amalgam spaces of Orlicz type
topic Functional Analysis
46E30, 42B35
url https://arxiv.org/abs/2403.02732