Geometric Properties of a General Kohn–Nirenberg Domain in ℂn
The Kohn–Nirenberg domains are unbounded domains in Cn. In this article, we modify the Kohn–Nirenberg domain ΩK,L=(z1,…,zn)∈Cn:Rezn+g∣zn∣2+∑j=1n−1(∣zj∣p+Kj∣zj∣p−qRezjq+Lj∣zj∣p−2qImzj2q)<0} and discuss the existence of supporting surface and peak functions at the origin.
Authors
- Baozhu Li (ORCID: https://orcid.org/0000-0002-4631-0317)
- Yuan Jiang (ORCID: https://orcid.org/0009-0006-2755-9375)
- Hongyi Li (ORCID: https://orcid.org/0000-0002-6891-0858)
- Di Zhao (ORCID: https://orcid.org/0000-0003-1260-3688)
- Kai-Chieh Hu (ORCID: https://orcid.org/0000-0003-3649-2898)
Institutions
- Xuzhou University of Technology (CN)
- Xidian University (CN)
- Sun Yat-sen University (CN)
- Beihang University (CN)
Publication Details
- Journal
- Mathematics
- Published
- 2025-04-05
- DOI
- https://doi.org/10.3390/math13071200
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- China Postdoctoral Science Foundation