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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
156 pp
List Price: $30.00
MAA Member Price: $27.00
AMS Member Price: $18.00

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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 |
156 pp |
List Price: | $30.00 |
MAA Member Price: | $27.00 |
AMS Member Price: | $18.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 92; 1991MSC: Primary 32; Secondary 31;
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Table of Contents
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Chapters
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1. Levi-curvature
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2. Smooth variation of domains
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3. Boundary behavior of the Robin function $\Lambda (\xi )$
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4. Proof of Lemma 3.1
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5. Proof of Lemma 3.1, continued
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6. Limiting formulas
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7. Strict plurisubharmonicity of $-\Lambda (\xi )$, $\log (-\Lambda (\xi ))$
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8. The Robin function and the Bergman kernel
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9. Metric induced by Robin function
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10. Strictly pseudoconvex boundary points
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11. Explicit formulas for a half-space
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12. Sufficient conditions for completeness of the $\Lambda $-metric
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13. An example with $\ell _2(\xi , a) \not \geq c|\ell _1 (\xi , a)|^2$
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- Table of Contents
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-
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 $\ell _2(\xi , a) \not \geq c|\ell _1 (\xi , a)|^2$
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