Geometric Properties of a General Kohn–Nirenberg Domain in ℂn
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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.