On the Space of m-subharmonic Functions
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 th...
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Springer Science and Business Media B.V.
2021
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my.utp.eprints.292582022-03-25T01:15:41Z On the Space of m-subharmonic Functions Abdul Karim, S.A. Nguyen, V.T. 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. Springer Science and Business Media B.V. 2021 Conference or Workshop Item NonPeerReviewed 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 Abdul Karim, S.A. and Nguyen, V.T. (2021) On the Space of m-subharmonic Functions. In: UNSPECIFIED. http://eprints.utp.edu.my/29258/ |
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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. |
| format |
Conference or Workshop Item |
| author |
Abdul Karim, S.A. Nguyen, V.T. |
| spellingShingle |
Abdul Karim, S.A. Nguyen, V.T. On the Space of m-subharmonic Functions |
| author_facet |
Abdul Karim, S.A. Nguyen, V.T. |
| author_sort |
Abdul Karim, S.A. |
| title |
On the Space of m-subharmonic Functions |
| title_short |
On the Space of m-subharmonic Functions |
| title_full |
On the Space of m-subharmonic Functions |
| title_fullStr |
On the Space of m-subharmonic Functions |
| title_full_unstemmed |
On the Space of m-subharmonic Functions |
| title_sort |
on the space of m-subharmonic functions |
| publisher |
Springer Science and Business Media B.V. |
| publishDate |
2021 |
| 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 http://eprints.utp.edu.my/29258/ |
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1738656940306726912 |
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13.211869 |