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Invariant Potential Theory in the Unit Ball of Cn
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ISBN-13:
9780521468305
Veröffentl:
2003
Einband:
Paperback
Erscheinungsdatum:
24.06.2003
Seiten:
184
Autor:
Manfred Stoll
Gewicht:
276 g
Format:
229x152x11 mm
Sprache:
Englisch
Beschreibung:
1. Notation and preliminary results; 2. The Bergman kernel; 3. The Laplace¿Beltrami operator; 4. Invariant harmonic and subharmonic functions; 5. Poisson¿Szegö integrals; 6. The Riesz decomposition theorem; 7. Admissible boundary limits of Poisson integrals; 8. Radial and admissible boundary limits of potentials; 9. Gradient estimates and Riesz potentials; 10. Spaces of invariant harmonic functions; References.
The results in potential theory with respect to the Laplace Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn.