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Abstract
In this paper, we are interested in giving sufficient conditions of a quaternionic plurisubharmonic function defined on a bounded quaternionic hyperconvex domain such that it can be approximated by a decreasing sequence of smooth functions. As an application, we study the geometric property of quaternionic B-regular domains.
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Acknowledgments
This work has been partially completed while the author was working at the Vietnam Institute for Advanced Study in Mathematics. He wishes to thank the institution for the kind hospitality and support. The author would like to thank the referees for valuable remarks that helped to improve the exposition in this paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2019.312.