Metric Induced by the Robin Function.
Levenberg, N.
Metric Induced by the Robin Function. - 1st ed. - 1 online resource (169 pages) - Memoirs of the American Mathematical Society ; v.92 . - Memoirs of the American Mathematical Society .
Intro -- Table of Contents -- 1. Levi-curvature -- 2. Smooth variation of domains -- 3. Boundary behavior of the Robin function Λ(ξ) -- 4. Proof of Lemma 3.1 -- 5. Proof of Lemma 3. 1, continued -- 6. Limiting formulas -- 7. Strict plurisubharmonicity of Λ(ξ), log( Λ(ξ)) -- 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 [sup(Λ)] metric -- 13. An example with l[sub(2)](ξ, a) [omitted] el[sub(1)] (ξ, a)[sup(2)].
9781470408749
Plurisubharmonic functions.
Pseudoconvex domains.
Electronic books.
QA331.7 -- .L484 1991eb
515
Metric Induced by the Robin Function. - 1st ed. - 1 online resource (169 pages) - Memoirs of the American Mathematical Society ; v.92 . - Memoirs of the American Mathematical Society .
Intro -- Table of Contents -- 1. Levi-curvature -- 2. Smooth variation of domains -- 3. Boundary behavior of the Robin function Λ(ξ) -- 4. Proof of Lemma 3.1 -- 5. Proof of Lemma 3. 1, continued -- 6. Limiting formulas -- 7. Strict plurisubharmonicity of Λ(ξ), log( Λ(ξ)) -- 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 [sup(Λ)] metric -- 13. An example with l[sub(2)](ξ, a) [omitted] el[sub(1)] (ξ, a)[sup(2)].
9781470408749
Plurisubharmonic functions.
Pseudoconvex domains.
Electronic books.
QA331.7 -- .L484 1991eb
515