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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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Bloch space in the unit ball of $\mathbb {C}^{n}$
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by Guangbin Ren and Caifeng Tu PDF
Proc. Amer. Math. Soc. 133 (2005), 719-726 Request permission

Abstract:

In this paper we obtain higher-dimensional versions of the Holland-Walsh characterization of the Bloch space and the Stroethoff characterization of the little Bloch space.
References
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Additional Information
  • Guangbin Ren
  • Affiliation: Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, People’s Republic of China
  • Address at time of publication: Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
  • Email: ren@mat.ua.pt, rengb@ustc.edu.cn
  • Caifeng Tu
  • Affiliation: Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, People’s Republic of China
  • Email: tucf@ustc.edu.cn
  • Received by editor(s): August 16, 2001
  • Received by editor(s) in revised form: January 15, 2002
  • Published electronically: October 21, 2004
  • Additional Notes: Project supported by the NNSF of China (No. 10001030, 10471134) and the Post-doctoral Fellowship of the University of Aveiro, UID “Matemática e Aplicações”
  • Communicated by: Mei-Chi Shaw
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 719-726
  • MSC (2000): Primary 32A18; Secondary 32A37
  • DOI: https://doi.org/10.1090/S0002-9939-04-07617-8
  • MathSciNet review: 2113920