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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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On the continuous extension of Kobayashi isometries
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by Anwoy Maitra PDF
Proc. Amer. Math. Soc. 148 (2020), 3437-3451 Request permission

Abstract:

We provide a sufficient condition for the continuous extension of isometries for the Kobayashi distance between bounded convex domains in complex Euclidean spaces having boundaries that are only slightly more regular than $\mathcal {C}^1$. This is a generalization of a recent result by A. Zimmer.
References
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Additional Information
  • Anwoy Maitra
  • Affiliation: Department of Mathematics, Indian Institute of Science, Bangalore 560012, India
  • MR Author ID: 1353726
  • Email: anwoymaitra@iisc.ac.in
  • Received by editor(s): August 16, 2019
  • Received by editor(s) in revised form: September 2, 2019, and December 20, 2019
  • Published electronically: March 23, 2020
  • Additional Notes: This work was supported by a scholarship from the Indian Institute of Science and by a UGC CAS-II grant (Grant No. F.510/25/CAS-II/2018(SAP-I))
  • Communicated by: Filippo Bracci
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 3437-3451
  • MSC (2010): Primary 32F45, 32H40; Secondary 53C22
  • DOI: https://doi.org/10.1090/proc/15038
  • MathSciNet review: 4108850