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October 2020 On the grand Wiener amalgam spaces
Ahmet Turan Gürkanlı
Rocky Mountain J. Math. 50(5): 1647-1659 (October 2020). DOI: 10.1216/rmj.2020.50.1647

Abstract

We define the grand Wiener amalgam space by using the classical Wiener amalgam space and the generalized grand Lebesgue space. Moreover we study the inclusions between these spaces and some applications. Finally we prove the Hölder inequality for the grand Wiener amalgam space. We also find the associate space and dual of this space, and we prove that the grand Wiener amalgam space is not reflexive.

Citation

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Ahmet Turan Gürkanlı. "On the grand Wiener amalgam spaces." Rocky Mountain J. Math. 50 (5) 1647 - 1659, October 2020. https://doi.org/10.1216/rmj.2020.50.1647

Information

Received: 23 November 2018; Revised: 5 November 2019; Accepted: 6 November 2019; Published: October 2020
First available in Project Euclid: 5 November 2020

zbMATH: 07274826
MathSciNet: MR4170678
Digital Object Identifier: 10.1216/rmj.2020.50.1647

Subjects:
Primary: 46E30
Secondary: 46B70, 46E35

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 5 • October 2020
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