科研之友
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摘要
The goal of this note is to explore the relationship between the Folland-Kohn basic estimate and the Z(q)-condition. In particular, on unbounded domains, we prove that the Folland-Kohn basic estimate is equivalent to a uniform Z(q) condition. As a corollary, we observe that despite the Siegel upper half space being strictly pseudoconvex and biholomorphic to the unit ball, it fails to satisfy uniform strict pseudoconvexity and hence the Folland-Kohn basic estimate fails.
- 出版日期2017
