Journal of Pseudo-Differential Operators and Applications ( IF 0.9 ) Pub Date : 2021-05-24 , DOI: 10.1007/s11868-021-00406-x Angela A. Albanese , Claudio Mele
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.
中文翻译:
$$ {{\\ mathcal {S}}} _ {\ omega}({{\ mathbb {R}}} ^ N)$$ Sω(RN)的乘数
本文的目的是介绍和研究以下乘数的空间\({{\ mathcal {O}}} _ {M,\ omega}({{\ mathbb {R}}} ^ N)\)空间\({{\ mathcal {S}}} _ \欧米加({{\ mathbb {R}}} ^ N)\)的\(\欧米加\) -ultradifferentiable快速降低Ahlfors扩张型的功能。我们确定空间\({{\ mathcal {O}}} _ {M,\ omega}({{\ mathbb {R}}} ^ N)\)的各种属性。此外,我们定义并比较了可以自然地赋予\({{\ mathcal {O}}} _ {M,\ omega}({{\ mathbb {R}}} ^ N)\)的一些lc-拓扑。