relation: https://khub.utp.edu.my/scholars/15526/ title: On the Space of m-subharmonic Functions creator: Abdul Karim, S.A. creator: Nguyen, V.T. description: 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. publisher: Springer Science and Business Media B.V. date: 2021 type: Conference or Workshop Item type: PeerReviewed identifier: Abdul Karim, S.A. and Nguyen, V.T. (2021) On the Space of m-subharmonic Functions. In: UNSPECIFIED. relation: 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 relation: 10.1007/978-981-16-4513-6₅₁ identifier: 10.1007/978-981-16-4513-6₅₁