%0 Conference Paper
%A Abdul Karim, S.A.
%A Nguyen, V.T.
%D 2021
%F scholars:15526
%I Springer Science and Business Media B.V.
%P 587-594
%R 10.1007/978-981-16-4513-6₅₁
%T On the Space of m-subharmonic Functions
%U https://khub.utp.edu.my/scholars/15526/
%X 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.
%Z 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