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The Metric Induced by the Robin Function
 
Front Cover for 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
Front Cover for The Metric Induced by the Robin Function
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  • Front Cover for The Metric Induced by the Robin Function
  • Back Cover for The Metric Induced by the Robin Function
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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 921991
    MSC: Primary 32; Secondary 31;
  • 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 $\ell _2(\xi , a) \not \geq c|\ell _1 (\xi , a)|^2$
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Volume: 921991
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 $\ell _2(\xi , a) \not \geq c|\ell _1 (\xi , a)|^2$
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