PreprintCC BY 4.0arXiv
Regularity of geodesics in the spaces of convex and plurisubharmonic functions III
Abstract
In this note, we study the regularity of solutions to the geodesic equation in the space of plurisubharmonic functions in a general Reinhardt domain. Our findings resolve a problem left open from our previous note [AD26].
Related
- Characterization of Sobolev regularity of plurisubharmonic functions
- Maximal Plurisubharmonic Functions and Fujii-Seo Determinants in Hilbert spaces
- On Lp-spaces of functions with values in locally convex spaces
- Alpha-convex functions in complex Banach spaces
- Local-to-global maximality for plurisubharmonic functions with locally analytic singularities
BibTeX
@misc{abja2026regularity,
title = {{Regularity of geodesics in the spaces of convex and plurisubharmonic functions III}},
author = {Soufian Abja and Slawomir Dinew},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04793},
eprint = {2611.04793},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04793},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Regularity of geodesics in the spaces of convex and plurisubharmonic functions III
AU - Soufian Abja
AU - Slawomir Dinew
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04793
UR - https://arxiv.org/abs/2611.04793
AB - In this note, we study the regularity of solutions to the geodesic equation in the space of plurisubharmonic functions in a general Reinhardt domain. Our findings resolve a problem left open from our previous note [AD26].
ER -