Electrostatic capacity and measure of asymmetry
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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.References
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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