Abstract
We introduce a new class of unbounded model subdomains of ℂ2 for the {dashed fence}b problem. Unlike previous finite type models, these domains need not be bounded by algebraic varieties. In this paper we obtain precise global estimates for the Carnot-Carathéodory metric induced on the boundary of such domains by the real and imaginary parts of the CR vector field.
Original language | English (US) |
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Pages (from-to) | 437-447 |
Number of pages | 11 |
Journal | Archiv der Mathematik |
Volume | 102 |
Issue number | 5 |
DOIs | |
State | Published - May 2014 |
Keywords
- Carnot-Carathéodory metrics
- Global behavior
ASJC Scopus subject areas
- Mathematics(all)