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arXiv · 2011.03961

Multipliers on $\mathcal{S}_{\omega}(\mathbb{R}^N)$

Angela A. Albanese·Claudio Mele
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Abstract

The aim of this paper is to introduce and to study the space $\mathcal{O}_{M,\omega}(\mathbb{R}^N)$ of the multipliers of the space $\mathcal{S}_{\omega}(\mathbb{R}^N)$ of the $\omega$-ultradifferentiable rapidly decreasing functions of Beurling type. We determine various properties of the space $\mathcal{O}_{M,\omega}(\mathbb{R}^N)$. Moreover, we define and compare some lc-topologies of which $\mathcal{O}_{M,\omega}(\mathbb{R}^N)$ can be naturally endowed.

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BibTeXRIS

Angela A. Albanese, Claudio Mele. 2020-11-08. Multipliers on $\mathcal{S}_{\omega}(\mathbb{R}^N)$. https://arxiv.org/abs/2011.03961

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