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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Boundedness of the Cesàro operator on mixed norm spaces
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by Ji-huai Shi and Guang-bin Ren PDF
Proc. Amer. Math. Soc. 126 (1998), 3553-3560 Request permission

Abstract:

In this note, the boundedness of the Cesàro operator on mixed norm space $H_{p,q}(\varphi )$, $0<p, q\le \infty$, is proved.
References
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Additional Information
  • Ji-huai Shi
  • Affiliation: Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, People’s Republic of China
  • Email: shijh@math.ustc.edu.cn
  • Guang-bin Ren
  • Affiliation: Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, People’s Republic of China
  • Email: rengb@math.ustc.edu.cn
  • Received by editor(s): January 30, 1997
  • Received by editor(s) in revised form: April 18, 1997
  • Additional Notes: This research was supported by the National Natural Science Foundation of China and the National Education Committee Doctoral Foundation
  • Communicated by: Theodore W. Gamelin
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 3553-3560
  • MSC (1991): Primary 47B38; Secondary 30D55
  • DOI: https://doi.org/10.1090/S0002-9939-98-04514-6
  • MathSciNet review: 1458263