Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Characterization of nuclearity for Beurling–Björck spaces
HTML articles powered by AMS MathViewer

by Andreas Debrouwere, Lenny Neyt and Jasson Vindas
Proc. Amer. Math. Soc. 148 (2020), 5171-5180
DOI: https://doi.org/10.1090/proc/15227
Published electronically: September 18, 2020

Abstract:

We characterize the nuclearity of the Beurling–Björck spaces $\mathcal {S}^{(\omega )}_{(\eta )}(\mathbb {R}^d)$ and $\mathcal {S}^{\{\omega \}}_{\{\eta \}}(\mathbb {R}^d)$ in terms of the defining weight functions $\omega$ and $\eta$.
References
Similar Articles
Bibliographic Information
  • Andreas Debrouwere
  • Affiliation: Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, 9000 Gent, Belgium
  • MR Author ID: 1154620
  • Email: andreas.debrouwere@UGent.be
  • Lenny Neyt
  • Affiliation: Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, 9000 Gent, Belgium
  • MR Author ID: 1337474
  • ORCID: 0000-0001-8116-1487
  • Email: lenny.neyt@UGent.be
  • Jasson Vindas
  • Affiliation: Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, 9000 Gent, Belgium
  • MR Author ID: 795097
  • ORCID: 0000-0002-3789-8577
  • Email: jasson.vindas@UGent.be
  • Received by editor(s): August 28, 2019
  • Received by editor(s) in revised form: February 15, 2020
  • Published electronically: September 18, 2020
  • Additional Notes: The first author was supported by FWO-Vlaanderen through the postdoctoral grant 12T0519N
    The second author gratefully acknowledges support by Ghent University through the BOF-grant 01J11615.
    The third author was supported by Ghent University through the BOF-grants 01J11615 and 01J04017.
  • Communicated by: Ariel Barton
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 5171-5180
  • MSC (2010): Primary 46E10, 46F05; Secondary 42B10, 46A11, 81S30
  • DOI: https://doi.org/10.1090/proc/15227
  • MathSciNet review: 4163830