eprintid: 15526 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/01/55/26 datestamp: 2023-11-10 03:30:09 lastmod: 2023-11-10 03:30:09 status_changed: 2023-11-10 01:59:42 type: conference_item metadata_visibility: show creators_name: Abdul Karim, S.A. creators_name: Nguyen, V.T. title: On the Space of m-subharmonic Functions ispublished: pub note: cited By 0; Conference of 6th International Conference on Fundamental and Applied Sciences, ICFAS 2020 ; Conference Date: 13 July 2021 Through 15 July 2021; Conference Code:270909 abstract: In this study, we investigate the space of m-subharmonic functions. We introduce the Mabuchi space of strictly m-subharmonic functions in an m-hyperconvex domain. We also study the metric properties of this space using Mabuchi geodesics. Some theoretical results are given in this study. We prove the connection between geodesics and homogeneous Hessian equations. The main result is important in the geometry of m-subharmonic functions. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. date: 2021 publisher: Springer Science and Business Media B.V. official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123315350&doi=10.1007%2f978-981-16-4513-6_51&partnerID=40&md5=d275c8c6041c8823240f28672a6cb5ed id_number: 10.1007/978-981-16-4513-6₅₁ full_text_status: none publication: Springer Proceedings in Complexity pagerange: 587-594 refereed: TRUE isbn: 9789811645129 issn: 22138684 citation: Abdul Karim, S.A. and Nguyen, V.T. (2021) On the Space of m-subharmonic Functions. In: UNSPECIFIED.