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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Iterates of holomorphic self-maps on pseudoconvex domains of finite and infinite type in $\mathbb C^n$
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by Tran Vu Khanh and Ninh Van Thu PDF
Proc. Amer. Math. Soc. 144 (2016), 5197-5206 Request permission

Abstract:

Using the lower bounds on the Kobayashi metric established by the first author, we prove a Wolff-Denjoy-type theorem for a very large class of pseudoconvex domains in $\mathbb {C}^n$. This class includes many pseudoconvex domains of finite type and infinite type.
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Additional Information
  • Tran Vu Khanh
  • Affiliation: School of Mathematics and Applied Statistics, University of Wollongong, NSW, Australia, 2522
  • MR Author ID: 815734
  • Email: tkhanh@uow.edu.au
  • Ninh Van Thu
  • Affiliation: Department of Mathematics, Vietnam National University at Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
  • MR Author ID: 853151
  • Email: thunv@vnu.edu.vn
  • Received by editor(s): July 16, 2015
  • Received by editor(s) in revised form: December 25, 2015, December 28, 2015, January 13, 2016, and February 4, 2016
  • Published electronically: May 23, 2016
  • Additional Notes: The research of the first author was supported by the Australian Research Council DE160100173.
    The research of the second author was supported by the Vietnam National University, Hanoi (VNU) under project number QG.16.07. This work was completed when the second author was visiting the Vietnam Institute for Advanced Study in Mathematics (VIASM). He would like to thank the VIASM for the financial support and hospitality.
  • Communicated by: Franc Forstneric
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 5197-5206
  • MSC (2010): Primary 32H50; Secondary 37F99
  • DOI: https://doi.org/10.1090/proc/13138
  • MathSciNet review: 3556264