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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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Some characterizations of minimally thin sets in a cylinder and Beurling-Dahlberg-Sjögren type theorems
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by Ikuko Miyamoto and Minoru Yanagishita PDF
Proc. Amer. Math. Soc. 133 (2005), 1391-1400 Request permission

Abstract:

This paper shows that some characterizations of minimally thin sets connected with a domain having smooth boundary and a half-space in particular can also be given for a minimally thin set at infinity of a cylinder.
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Additional Information
  • Ikuko Miyamoto
  • Affiliation: Department of Mathematics and Informatics, Faculty of Science, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, Japan
  • Email: miyamoto@math.s.chiba-u.ac.jp
  • Minoru Yanagishita
  • Affiliation: Department of Mathematics and Informatics, Faculty of Science, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, Japan
  • Email: myanagis@g.math.s.chiba-u.ac.jp
  • Received by editor(s): February 28, 2003
  • Received by editor(s) in revised form: January 6, 2004
  • Published electronically: October 18, 2004

  • Dedicated: Dedicated to Professor Hidenobu Yoshida on his 60th birthday
  • Communicated by: Juha M. Heinonen
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1391-1400
  • MSC (2000): Primary 31B05; Secondary 31B20
  • DOI: https://doi.org/10.1090/S0002-9939-04-07660-9
  • MathSciNet review: 2111964