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PreprintarXiv licencearXiv

Pseudoconvex Exhaustions of Hartogs Domains Associated with L2-Optimal Pairs

Abstract

By constructing a smooth pseudoconvex exhaustion of the associated Hartogs domain, we give a new proof of the Deng-Ning-Wang's characterization of plurisubharmonic functions without the smoothness assumption.

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BibTeX
@misc{zhang2026pseudoconvex,
  title = {{Pseudoconvex Exhaustions of Hartogs Domains Associated with $L^2$-Optimal Pairs}},
  author = {Xujun Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.25294},
  eprint = {2610.25294},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.25294},
}
RIS
TY  - UNPB
TI  - Pseudoconvex Exhaustions of Hartogs Domains Associated with L^2-Optimal Pairs
AU  - Xujun Zhang
PY  - 2026
DA  - 2026/10/18
PB  - arXiv
DO  - 10.48550/arxiv.2610.25294
UR  - https://arxiv.org/abs/2610.25294
AB  - By constructing a smooth pseudoconvex exhaustion of the associated Hartogs domain, we give a new proof of the Deng-Ning-Wang's characterization of plurisubharmonic functions without the smoothness assumption.
ER  -