Multipliers on S_ω(ℝ^N)

2020/11/08 by Albanese, Angela A., Mele, Claudio
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2011.03961

Abstract

The aim of this paper is to introduce and to study the space O_M,ω(ℝ^N) of the multipliers of the space S_ω(ℝ^N) of the ω-ultradifferentiable rapidly decreasing functions of Beurling type. We determine various properties of the space O_M,ω(ℝ^N). Moreover, we define and compare some lc-topologies of which O_M,ω(ℝ^N) can be naturally endowed.

Related

• Convolutors on S_ω(ℝ^N)
• Complementation of the subspace of radial multipliers in the space of Fourier multipliers on ℝⁿ
• On a Problem of Jaak Peetre Concerning Pointwise Multipliers of Besov\n Spaces
• Pointwise Multipliers for Besov Spaces of Dominating Mixed Smoothness -\n II
• Roots and Logarithms of Multipliers