Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 1
- /
- Pages.81-87
- /
- 1996
- /
- 1225-1763(pISSN)
- /
- 2234-3024(eISSN)
A Kohn-nirenberg example using lower degree
- Yi, Jeong-Seon (Department ofMathematics Education Hyosung Womans University)
- Published : 1996.01.01
Abstract
We will construct polynomials of degree 6 in z and $\bar{z}$ on $C^2$ which gives, via its coefficient $\beta$ as a parameter, a family of pseudoconvex domains $\Omega_\beta$ in $C^2$ with the origin being a boundary point, and show that the domains $\Omega_\beta$ has no peak functions of class $c^1$ at the origin and has no holomorphic support functions for $1 \leq \beta < \frac{9}{5}$.