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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.

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Intersections and unions of a general family of function spaces
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by Guanlong Bao, Hasi Wulan and Fangqin Ye
Proc. Amer. Math. Soc. 149 (2021), 3307-3315
DOI: https://doi.org/10.1090/proc/15491
Published electronically: May 10, 2021

Abstract:

In this paper, we investigate the strict inclusion relation associated with intersections and unions of a general family of function spaces. We answer partially a question left open in Korhonen and Rättyä [Comput. Methods Funct. Theory 5 (2005), pp. 459–469].
References
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Bibliographic Information
  • Guanlong Bao
  • Affiliation: Department of Mathematics, Shantou University, Shantou 515063, Guangdong, People’s Republic of China
  • MR Author ID: 1034887
  • Email: glbao@stu.edu.cn
  • Hasi Wulan
  • Affiliation: Department of Mathematics, Shantou University, Shantou 515063, Guangdong, People’s Republic of China
  • ORCID: 0000-0001-6771-7311
  • Email: wulan@stu.edu.cn
  • Fangqin Ye
  • Affiliation: Business School, Shantou University, Shantou 515063, Guangdong, People’s Republic of China
  • Email: fqye@stu.edu.cn
  • Received by editor(s): October 2, 2020
  • Published electronically: May 10, 2021
  • Additional Notes: The work was supported by NNSF of China (No. 12001352, No. 11801347 and No. 11720101003), NSF of Guangdong Province (No. 2018A030313512), Guangdong basic and applied basic research foundation (No. 2019A1515110178), Key projects of fundamental research in universities of Guangdong Province (No. 2018KZDXM034) and Shantou University SRFT (No. NTF17020 and No. STF17005).
    The first author is the corresponding author.
  • Communicated by: Adrian Ioana
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 3307-3315
  • MSC (2020): Primary 30H25, 30J10, 46E15
  • DOI: https://doi.org/10.1090/proc/15491
  • MathSciNet review: 4273136