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The Metric Induced by the Robin Function

Available Formats:
Electronic ISBN: 978-1-4704-0874-9
Product Code: MEMO/92/448.E
List Price: $30.00 MAA Member Price:$27.00
AMS Member Price: $18.00 Click above image for expanded view The Metric Induced by the Robin Function Available Formats:  Electronic ISBN: 978-1-4704-0874-9 Product Code: MEMO/92/448.E  List Price:$30.00 MAA Member Price: $27.00 AMS Member Price:$18.00
• Book Details

Memoirs of the American Mathematical Society
Volume: 921991; 156 pp
MSC: Primary 32; Secondary 31;

• 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 $\ell _2(\xi , a) \not \geq c|\ell _1 (\xi , a)|^2$
• Requests

Review Copy – for reviewers who would like to review an AMS book
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Volume: 921991; 156 pp
MSC: Primary 32; Secondary 31;
• 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 $\ell _2(\xi , a) \not \geq c|\ell _1 (\xi , a)|^2$
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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