Local convexifiability of some rigid domains
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Periodical |
| Magazine / Source | Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II, |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | convexifiability; Kohn-Nirenberg phenomenon; finite type; rigid domains |
| Description | The main obstruction for constructing holomorphic reproducing kernels on weakly pseudoconvex domains is the Kohn-Nirenberg phenomenon, i.e., nonexistence of supporting functions and local nonconvexifiability. It is well known that domains of type four in C^2 do admit supporting functions at every boundary point, but still open is the question whether such domains are also locally convexifiable. This paper proves this under the additional assumption of rigidity of the domain. |
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