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 |
Funding
This work was supported in part by NSF Grant No. 1147523-RTG: Analysis and Applications at the University of Wisconsin-Madison. The author would like to thank Professor Alexander Nagel for his support throughout this project, and Professor Brian Street for helpful conversations. The author would also like to thank the anonymous reviewer for their helpful comments.
Keywords
- Carnot-Carathéodory metrics
- Global behavior
ASJC Scopus subject areas
- General Mathematics