On the space $\cO_{C,\omega}(\R^N)$ and its dual

Authors

  • Angela A. Albanese
  • Claudio Mele

DOI:

https://doi.org/10.1285/i15900932v43n1p1

Keywords:

Convolutors, weight functions, ultradifferentiable rapidly decreasing function spaces of Beurling type, sequentially retractive (LF)-space

Abstract

We prove that the pre-dual $\cO_{C,\omega}(\R^N)$ of the space $\cO'_{C,\omega}(\R^N)$ of convolutors of $\cS_\omega(\R^N)$ is a sequentially retractive (LF)-space.

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Published

05-10-2023

Issue

Volume 43, issue 1 (2023)

Section

Articoli

License

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode