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The metric induced by the Robin function
About this Title
Norman Levenberg and Hiroshi Yamaguchi
Publication: Memoirs of the American Mathematical Society
Publication Year:
1991; Volume 92, Number 448
ISBNs: 978-0-8218-2520-4 (print); 978-1-4704-0874-9 (online)
DOI: https://doi.org/10.1090/memo/0448
MathSciNet review: 1061928
MSC: Primary 32F15; Secondary 31B25
Table of Contents
Chapters
- 1. Levi-curvature
- 2. Smooth variation of domains
- 3. Boundary behavior of the Robin function $\Lambda (\xi )$
- 4. Proof of Lemma 3.1
- 5. Proof of Lemma 3.1, continued
- 6. Limiting formulas
- 7. Strict plurisubharmonicity of $-\Lambda (\xi )$, $\log (-\Lambda (\xi ))$
- 8. The Robin function and the Bergman kernel
- 9. Metric induced by Robin function
- 10. Strictly pseudoconvex boundary points
- 11. Explicit formulas for a half-space
- 12. Sufficient conditions for completeness of the $\Lambda$-metric
- 13. An example with $\ell _2(\xi , a) \not \geq c|\ell _1 (\xi , a)|^2$