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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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Electrostatic capacity and measure of asymmetry
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by HaiLin Jin PDF
Proc. Amer. Math. Soc. 147 (2019), 4007-4019 Request permission

Abstract:

In this paper, the $p$-Minkowski capacity measures of asymmetry in terms of the $q$-mixed capacity, which have the well-known Minkowski measure of asymmetry as a special case, are defined, and some properties of these measures are studied. In addition, we extend the $p$-Minkowski capacity measures of asymmetry to the corresponding Orlicz version.
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Additional Information
  • HaiLin Jin
  • Affiliation: Department of Mathematics, Suzhou University of Science and Technology, Suzhou, 215009 People’s Republic of China
  • Email: jinhailin17@163.com
  • Received by editor(s): August 9, 2018
  • Received by editor(s) in revised form: January 8, 2019
  • Published electronically: June 10, 2019
  • Additional Notes: This project was supported by NSF of Jiangsu Province No. BK20171218 and national NSF of China No. 11671293
  • Communicated by: Deane Yang
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 4007-4019
  • MSC (2010): Primary 52A20, 52A39
  • DOI: https://doi.org/10.1090/proc/14623
  • MathSciNet review: 3993792