PreprintCC BY 4.0arXiv
Continuity of pluricomplex Green functions with hypersurface poles on certain B-regular domains
Abstract
We prove the continuity of the pluricomplex Green functions introduced by F. Lárusson and R. Sigurdsson on a class of bounded (B)-regular domains that includes all (B)-regular convexifiable domains.
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BibTeX
@misc{dao2026continuity,
title = {{Continuity of pluricomplex Green functions with hypersurface poles on certain B-regular domains}},
author = {Huy Hoang Dao and Quang Dieu Nguyen and Duc Hieu Tran},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.00909},
eprint = {2610.00909},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.00909},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Continuity of pluricomplex Green functions with hypersurface poles on certain B-regular domains
AU - Huy Hoang Dao
AU - Quang Dieu Nguyen
AU - Duc Hieu Tran
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.00909
UR - https://arxiv.org/abs/2610.00909
AB - We prove the continuity of the pluricomplex Green functions introduced by F. Lárusson and R. Sigurdsson on a class of bounded (B)-regular domains that includes all (B)-regular convexifiable domains.
ER -